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WorksheetsCircles Unit
Total questions: 109
Worksheet time: 3hrs 17mins
Luna and Elijah are having a friendly debate! Luna says the green line in the picture shows the diameter of the circle, while Elijah thinks it's the radius. Who do you agree with? What does this picture show?
Diameter
Radius
Benjamin, Priya, and Mason are baking a giant circular pie! To help them measure the perfect crust, can you tell them which number represents π?
31.4
4.13
3.14
34.1
Mia and Oliver are measuring a giant pizza! In the formula below, what does the C stand for?
C = π·d
Pi
Circumference
Diameter
Area
Mason and Arjun are planning to build a circular race track for their toy cars. The track has a diameter of 10 cm, as shown in the picture. Can you help them find the circumference of the track so they know how far their cars will travel in one lap?
31.4 cm
78.5 cm
314 cm
15.7 cm
Anika and Ethan are planning to decorate a round table for their school project. The table has a diameter of 5 cm, just like the circle shown below. Can you help Anika and Ethan find the circumference of the table so they know how much ribbon they need to go all the way around?

78.5 cm
15.7 cm
7.85 cm
19.6 cm
Harper and Zoe are planning to decorate a circular table for their school event. The table has a radius of 7 units, as shown in the picture. Can you help them find the area of the table so they know how much decoration material they need?
43.96
153.86
87.82
307.72
Noah, Abigail, and Avery are planning to paint a giant pink circle on the playground for a fun game. The circle has a radius of 22 feet, as shown in the picture. Can you help them figure out the area of this circle so they know how much paint to buy?
6082.12
1520.53
1893.14
1292.92
Luna and Anika are making a colorful card for their friend. They have a rectangular piece of paper that is 7 cm long and 5 cm wide, just like the one in the picture. Can you help them find the area of the paper?
35 cm
30 cm
35 sq cm
12 cm
Benjamin and Hannah are making a picture frame in the shape of a rectangle. The frame has a length of 7 cm and a width of 5 cm, as shown in the image. Can you help them find the perimeter of their frame?
24 sq cm
24 cm
35 sq cm
35 cm
Jackson and Emma are building a rectangular garden that is 15 ft long and 9 ft wide. They want to put a fence all the way around it. Can you help them find the perimeter of their garden?
48 ft
48 ft2
135 ft
135 ft2
Abigail and Maya are building a garden in the shape of a rectangle. The length of the garden is 18 yards and the width is 4 yards, as shown in the picture. Can you help them find the perimeter of their garden?
24 yd
44 yd2
44 yd
24 yd2
Abigail wants to put a colorful ribbon all the way around her rectangular poster for the school fair. The poster is 20 inches long and 13 inches wide, as shown below:

How many inches of ribbon does Abigail need to go all the way around the poster?
33 in
66 in
99 in
260 in
Aria and Daniel are building a square garden, and each side of the garden measures 15 m. Can you help them figure out the total length of fencing they will need to go all the way around the garden? What is the perimeter of their square garden?
60 m
225 m
75 m
45 m
Liam and Abigail are helping James decorate a square-shaped garden. If the length (L) and width (W) of the garden are both 6 meters, what is the area of the garden?
36
12
38
56
Sophia is designing a square garden, and each side of the garden is 10 meters long. Can you help her find the area of her garden?
10
20
30
40
Elijah and David are building a rectangular garden. If the length (L) of the garden is 13m and the width (W) is 4m, can you help them find the total perimeter of their garden?
26m
34m
208m
12m
Henry and Zoe are helping Oliver build a rectangular garden. If the length (L) of the garden is 13m and the width (W) is 4m, can you help them find the total perimeter of the garden?
26m
34m
208m
12m
Anika and Liam are solving a triangle puzzle! In the triangle below, the angles are labeled as 113°, 32°, and (2b + 1)°. Can you help them solve for b?

What is the value of b?
16
17
19
18
Aria and Luna are exploring triangles in math class! They find a right triangle where one angle is 59° and the other unknown angle is h°. Can you help them solve for h?

30
31
32
34
Ava and Daniel are solving a triangle puzzle together! The triangle has angles 72°, 53°, and 5n°. Can you help them figure out what value of n makes the triangle's angles add up correctly?
10
11
12
13
Luna and Harper are solving a mystery triangle puzzle! Can you help them figure out: What is the measure of angle b?
36o
56o
63o
117o
Rohan and Anika are solving a triangle puzzle together! In the triangle FDE, they notice that the angle at D is extended to form angle SDE = 115°. The sides are labeled as shown: FE = 3x + 19 and DE = 5x. Can you help Rohan and Anika find the value of x?
A) 12
B) 8
C) 15
D) 9
Charlotte and William are working together to solve the mystery of the missing angle! Can you help them find the measure of the angle marked with a question mark in the diagram below?

What is the measure of the unknown angle?
88
30
110
85
Ethan, Aiden, and Emma are on a math adventure! They discover a mysterious triangle and need your help to unlock its secret. Complete the Theorem:
"The sum of the angles of any triangle..."
...is equal to the measure of the third side.
...is equal to 90 ° .
...Is equal to 360 ° .
...is equal to 180 ° .
Ava and James are on a math adventure! They found these two triangles and want to know: The triangles are similar by which rule?
SAS
AA
ASA
SSS
Evelyn and Luna are on a math adventure! They discover two mysterious triangles, as shown below. Can you help them figure out: The triangles are similar by...
SAS
AAS
ASA
SSS
Mason and Scarlett are working together on a triangle puzzle! They found two triangles, △ABC and △DEF, with the side lengths shown in the diagram above. Can you help them figure out if these triangles are similar? If they are, choose the correct similarity criterion!
SSS
SAS
AA
Not similar
Avery and Hannah are working together to solve a triangle puzzle! They found two triangles, UVW and GHF, with some matching angles and side lengths. Can you help them figure out how these triangles appear to be similar?
AA
SAS
SSS
Not Similar
Priya and Oliver are working together to prove that △PQR is congruent to △STW. They notice the markings on the triangles as shown. Which triangle congruence rule should they use to show the triangles are congruent?
SSS
SAS
ASA
Not Congruent
Liam, Henry, and Sophia are on a triangle treasure hunt! They found two mysterious triangles: ΔRST and ΔWXY. Can you help them figure out which triangle congruence rule proves these triangles are congruent?

SSS
SAS
ASA
Not Congruent
David and Charlotte are debating which triangle congruence rule proves that △ABC is congruent to △EDC. Can you help them settle the debate? Which triangle congruence proves that the triangles are congruent?
SSS
SAS
ASA
Not Congruent
Noah and Maya are working together to solve a triangle puzzle! They want to know: Which triangle congruence rule can they use to prove that ΔWXY is congruent to ΔZYX in the diagram below?
SSS
SAS
ASA
Not Congruent
Evelyn, Abigail, and Olivia are working together to solve a triangle mystery! They need to prove that ΔMNP is congruent to ΔPQM using one of the triangle congruence criteria. Can you help them figure out which congruence rule proves the triangles are congruent?
SSS
SAS
ASA
Not Congruent
Aiden and Isla are working together to solve a triangle puzzle! They notice that △BCE and △DAF look like they might be congruent. Using the information in the diagram, which triangle congruence rule can they use to prove the triangles are congruent?
SSS
SAS
ASA
Not Congruent
Anika and Henry are working together to solve a triangle puzzle! They want to prove that △EFG is congruent to △HJK using one of the triangle congruence rules. Can you help them figure out which congruence rule proves the triangles are congruent?
SSS
SAS
ASA
Not Congruent
Aria and Michael are debating in class: Is ΔBDM congruent to ΔHDM? If so, which triangle congruence rule (SSS, SAS, ASA) can they use to prove it? Help them settle the debate!
SSS
SAS
ASA
Not Congruent
Zoe, Abigail, and Evelyn are designing a colorful garden in the shape of the trapezoid shown above. To decorate the edges, they need to know the total length of the two parallel bases. Can you help them figure it out?
15 m
11.5 m
9.5 m
Noah and Priya are building a colorful garden in the shape of a trapezoid, just like the one below! They need to know the height to put up a fence. Can you help them figure out the height of this trapezoid?

What is the height of this trapezoid?
8.5 m
6.5 m
3.5 m
3 m
Emma and Mason are designing a colorful garden in the shape of the trapezoid shown below. They need to know how much space they have to plant flowers! Can you help them find the area of this trapezoid?

What is the area of this trapezoid?
14.25 m2
17.25 m2
22.5 m2
Mia and Priya are measuring the bases of a trapezoid for their math project. If one base is 14 cm and the other is 22 cm, can you help them by finding the total length of the bases?
26 cm
34 cm
36 cm
Sophia and Benjamin are building a model house, and they need to cut a piece of cardboard in the shape of the trapezoid shown below. Can you help them figure out the height of this trapezoid?

What is the height of this trapezoid?
12 cm
14 cm
22 cm
Kai and Charlotte are designing a colorful garden bed in the shape of the trapezoid shown below. They need to know how much space they have to plant flowers! What is the area of this trapezoid?

216 cm2
204 cm2
156 cm2
Liam and Anika are building a model using the trapezoid shown below. They want to know the total length of the two bases to decorate them. Can you help them figure it out?
10 in
12 in
14 in
Maya and James are building a colorful kite in the shape of the trapezoid shown below. Can you help them figure out the height of their kite?

What is the height of this trapezoid?
4 in
6 in
8 in
Olivia and Arjun are designing a colorful kite in the shape of this trapezoid. They need to know how much material to use. Can you help them find the area of the trapezoid?
20 in2
24 in2
28 in2
Scarlett and Aiden are designing a cool new garden in the shape of a trapezoid, just like the one shown! They need to know the total length of the two parallel bases to buy the right amount of fencing. Can you help them figure it out?
15 m
11.5 m
9.5 m
Luna and Benjamin are building a colorful garden path in the shape of a trapezoid, just like the one below! Can you help them figure out the height of their trapezoid?

What is the height of this trapezoid?
8.5 m
6.5 m
3.5 m
3 m
Abigail, Anika, and Luna are designing a colorful garden in the shape of the trapezoid shown below. They need to know how much space they have to plant flowers! Can you help them find the area of this trapezoid?

What is the area of this trapezoid?
14.25 m2
17.25 m2
22.5 m2
Grace and Ethan are working together on a geometry puzzle! They need to find the total length of the bases of the trapezoid shown in the image. Can you help them figure it out?
26 cm
34 cm
36 cm
Samuel, Michael, and Jackson are working together to solve a puzzle! They found a mysterious trapezoid with the dimensions shown in the image. Can you help them figure out what the height of this trapezoid is?
12 cm
14 cm
22 cm
What is the area of this trapezoid?
216 cm2
204 cm2
156 cm2
What is the total length of the bases?
10 in
12 in
14 in
What is the height of this trapezoid?
4 in
6 in
8 in
What is the area of this trapezoid?
20 in2
24 in2
28 in2
What is the area of this trapezoid.
30 cm2
44 cm2
88 cm2
22 cm2
In a trapezoid, the bases are always_________.
congruent
parallel
perpendicular
What is the area of this trapezoid?
64 m
72 m
72 m2
64 m2
What is the area of a rectangle with length 8 cm and width 5 cm?
20 cm2
26 cm2
40 cm2
13 cm2
Which triangle congruence criterion is satisfied if two triangles have three pairs of equal sides?
Not Congruent
ASA
SAS
SSS
Find the radius of a circle if the diameter is 18 cm.
36 cm
18 cm
9 cm
27 cm
What is the area of a rectangle with length 8 cm and width 5 cm?
40 cm2
20 cm2
13 cm2
26 cm2
Which of the following formulas is used to find the area of a square?
Area = length × width
Area = base × height ÷ 2
Area = side × side
Area = π × r2
What does r represent in the formula:
C = 2πr
Radius
Area
Diameter
Circumference
What is the area of the rectangle if its length is 8 cm and width is 5 cm?
40 cm2
26 cm2
20 cm2
13 cm2
Which triangle congruence criterion is satisfied if two triangles have two sides and the included angle equal?
ASA
SSS
SAS
AAS
What is the height of a trapezoid with bases 10 m and 6 m, and area 64 m2?
4 m
8 m
6.4 m
5.3 m
What is the area of a trapezoid with bases of 10 cm and 18 cm, and a height of 7 cm?
70 cm2
56 cm2
98 cm2
What is the height of a trapezoid if its area is 60 m2 and the lengths of the bases are 8 m and 12 m?
4 m
5 m
6 m
Which formula is used to find the area of a trapezoid?
Area = (base1 + base2) × height ÷ 2
Area = base × height
Area = side2
What is the area of a circle with a radius of 10 cm?
62.8 cm2
157 cm2
314 cm2
31.4 cm2
Find the perimeter of a square with a side length of 8 m.
16 m
24 m
32 m
64 m
What is the height of a trapezoid if its area is 40 cm2 and the lengths of the bases are 6 cm and 10 cm?
5 cm
8 cm
2 cm
4 cm
What is the area of a rectangle with length 8 cm and width 5 cm?
26 cm2
20 cm2
13 cm2
40 cm2
Which of the following is NOT a criterion for triangle similarity?
AA
SAS
SSA
SSS
What is the circumference of a circle with a diameter of 12 cm? (Use π ≈ 3.14)
18.84 cm
75.36 cm
24 cm
37.68 cm
What is the area of this trapezoid?
40 cm2
28 cm2
32 cm2
Which triangle congruence criterion can be used to prove these triangles are congruent?
SSS
SAS
ASA
Not Congruent
What is the total length of the bases of the trapezoid?
24 cm
20 cm
18 cm
Ella and Jacob are measuring a rectangular playground that is 12 meters long and 7 meters wide. They want to put a fence around it. Can you help them calculate the perimeter of the playground?
38 m
19 m
84 m2
42 m
Lucas and Zoe are working on a geometry project! They have a trapezoid with bases measuring 8 cm and 15 cm. Can you help them find the total length of the two bases?
7 cm
13 cm
23 cm
Harper and William are designing a square tile for their art class. If each side of the tile is 9 inches, what is the area of the tile?
18
81
27
36
Ella and Jack are planning a new playground in the shape of a trapezoid. They want to put a border along the two parallel sides. If one base is 12 m and the other is 7 m, what is the total length of the two bases?
17 m
19 m
15 m
Lucas and Mia are building a trapezoid-shaped sandbox. The bases are 10 m and 6 m, and the height is 4 m. How much sand will they need to fill the sandbox? (Find the area of the trapezoid.)
64 m2
40 m2
32 m2
Sophia and Ethan are decorating a trapezoid-shaped banner. If the area of the banner is 30 m2, and the two bases are 8 m and 7 m, what is the height of the trapezoid?
5 m
4 m
2 m
Ella and Jacob are measuring the bases of a trapezoid for their art project. If one base is 18 cm and the other is 27 cm, what is the total length of the bases?
45 cm
35 cm
39 cm
Lucas is planting a square flower bed, and each side is 12 meters long. Can you help him calculate the area of his flower bed?
144
48
24
36
Olivia and Ethan are working on a geometry challenge! They need to find the total length of the bases of the trapezoid shown in the diagram. Can you help them solve it?
30 cm
40 cm
50 cm
Olivia and Ethan are measuring a trapezoid for their art project! If one base is 18 cm and the other is 12 cm, can you help them find the total length of the two bases?
32 cm
30 cm
28 cm
Jacob and Mia are working on a math puzzle involving a trapezoid. The two parallel bases measure 9 m and 7 m. What is the total length of the bases?
15 m
16 m
17 m
Lucas and Harper are decorating a trapezoid-shaped banner. If the lengths of the two bases are 20 inches and 15 inches, what is the combined length of the bases?
35 inches
30 inches
25 inches
Olivia and Lucas are planting a rectangular flower bed that is 12 meters long and 6 meters wide. Can you help them calculate the area of their flower bed?
60 sq m
36 sq m
18 sq m
72 sq m
Sophia and Ethan are measuring a circular pond in their backyard. The pond has a diameter of 16 feet. Can you help them find the circumference of the pond?
25.12 ft
50.24 ft
201.06 ft
32 ft
Ella and Jack are working on a triangle puzzle! The triangle has angles 45°, 65°, and x°. What is the value of x?
50°
70°
80°
60°
Ella and Jack are measuring a rectangular playground. The length is 12 meters and the width is 9 meters. Can you help them calculate the total perimeter of the playground?
33 m
42 m
21 m
108 m
Lucas and Mia are decorating a circular window with a radius of 6 cm. How much ribbon do they need to go all the way around the window? What is the circumference?
12 cm
18.84 cm
37.68 cm
113.04 cm
Olivia and Ethan are working on a triangle puzzle! They want to prove that ΔABC is congruent to ΔDEF. Which triangle congruence rule (SSS, SAS, ASA) should they use if all three sides of both triangles are equal?
SSS
SAS
Not Congruent
ASA
Ella and Noah are measuring a circular pond in their backyard. The pond has a radius of 6 meters. Can you help them calculate the circumference of the pond so they know how much fencing they need to go all the way around?
12 m
113.1 m
18.8 m
37.7 m
Lucas and Mia are designing a square playground. Each side of the playground is 8 meters long. What is the perimeter of the playground?
64 m
24 m
32 m
16 m
Olivia and Ethan are working on a math project. They see the formula below and want to know: What does the A represent in the formula?
A = π·r2
Area
Circumference
Radius
Diameter
Sophia and Ethan are measuring a circular playground for their school project! In the formula below, what does the d represent?
C = π·d
Diameter
Area
Radius
Circumference
Ella and Lucas are designing a new garden in the shape of a trapezoid. If one base is 10 m and the other base is 18 m, what is the total length of the two bases?
20 m
28 m
8 m
Chloe and Daniel are working on a triangle puzzle! They see that two triangles have all three sides marked as equal. Which triangle congruence rule can they use to prove the triangles are congruent?
Not Congruent
SSS
SAS
ASA
Ella and Lucas are designing a new playground, and they want to use a trapezoid-shaped sandbox. The two parallel sides of the sandbox are 5 meters and 9 meters long, and the height is 4 meters. Can you help them find the area of the sandbox?
35 m2
32 m2
28 m2
Grace and Daniel are building a rectangular flower bed that is 8 meters long and 6 meters wide. They want to put a border all the way around it. Can you help them find the perimeter of the flower bed?
36 m
14 m
48 m
28 m
Olivia and Ethan are working on a triangle puzzle! The triangle has angles of 45°, 65°, and x°. Can you help them find the value of x?
70°
60°
50°
80°
