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Area of a circle, rectangle, and triangle - Printable Mathematics Worksheets - Wayground

Area of a circle, rectangle, and triangle

15 questions

7th - 7th Grade

Mathematics

This free Grade 7 mathematics worksheet helps students find the area of circles, rectangles, and triangles through 15 multiple-choice questions. Students identify a circle’s radius, select the circle-area formula, calculate areas from given measurements, interpret area as the space inside a shape, and solve a rectangle word problem involving a 10-by-9-inch piece of paper. They also calculate triangle areas using base and height, including measurements in feet and millimeters.

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Area of a circle, rectangle, and triangle

Total questions: 15

Name
Class
Date
1.
What is the radius of this circle?
What is the radius of this circle?
a)
12
b)
6
c)
24
2.
What is the area of this circle?

What is the area of this circle?

a)

1384.74

b)

2142.12

c)

5541.77

d)

1289.12

3.
What is the area of this circle?

What is the area of this circle?

a)

1256.64

b)

31.41

c)

314

d)

123.12

4.
What is the area of this circle?

What is the area of this circle?

a)

201.06

b)

50.24

c)

123.12

d)

94.43

5.
What is/are the formula(s) to find the area of a circle?
a)
πr2
b)
2πr
c)
√π
6.
What does area mean?
a)
the distance around a shape
b)
half the distance around a shape
c)
the amount of space outside a shape
d)
the amount of space inside a shape
7.
What is the area of the rectangle?
What is the area of the rectangle?
a)
42 square cm
b)
40 square cm
c)
40 cm
d)
42 cm
8.
Greyson and Preston have a piece of paper that is 10 inches by 9 inches.  What is the area of the paper?
a)
100 sq. in.
b)
79 sq. in.
c)
90 sq. in.
d)
90 in.
9.
Calculate the area of this shape
Calculate the area of this shape
a)
84cm2
b)
84cm
c)
38cm
d)
38cm2
10.
Calculate the area of this shape
Calculate the area of this shape
a)
345cm2
b)
76cm2
c)
38cm2
d)
175cm2
11.
The side lengths of this rectangle are...
The side lengths of this rectangle are...
a)
3 units by 3 units
b)
4 units by 3 units
c)
5 units by 3 units
d)
none of the above
12.
Area of triangle?
Area of triangle?
a)
17 units2
b)
20 units2
c)
10 units2
d)
16 units2
13.
Find the area of this triangle.
Find the area of this triangle.
a)
150 ft2
b)
100 ft2
c)
50 ft2
d)
35 ft2
14.
Find the area of a triangle with a height of 4 mm and a base of 6 mm?
a)
5 mm squared
b)
6 mm squared
c)
12 mm squared
d)
24 mm squared
15.
How do you find the AREA of a TRIANGLE?
a)
Length x Width
b)
Base x Height divided by 2
c)
1/3 (Length x width)
d)
Base x Height
WaygroundAnswer Key

Area of a circle, rectangle, and triangle

Total questions: 15

1.
b) 6
2.
a)

1384.74

3.
c)

314

4.
b)

50.24

5.
a) πr2
6.
d) the amount of space inside a shape
7.
b) 40 square cm
8.
c) 90 sq. in.
9.
a) 84cm2
10.
a) 345cm2
11.
b) 4 units by 3 units
12.
c) 10 units2
13.
c) 50 ft2
14.
c) 12 mm squared
15.
b) Base x Height divided by 2

FAQs

What does this worksheet cover, and how does it help students learn area formulas?

This Grade 7 worksheet uses 15 multiple-choice questions to practice finding the area of circles, rectangles, and triangles. Students connect measurements to the correct formulas—πr² for circles, length × width for rectangles, and base × height ÷ 2 for triangles—while selecting answers with appropriate square units.

How can I use this worksheet to teach area of circles, rectangles, and triangles?

Introduce area as the amount of space inside a shape, then model how to identify the needed measurements and choose the matching formula. Use the multiple-choice items to have students explain why an option such as a perimeter formula, an unhalved triangle product, or a nonsquare unit is incorrect before completing the calculations independently.

What mistakes should I watch for when students complete this area worksheet?

Watch for students using a circle’s diameter instead of its radius, choosing 2πr instead of πr², or reporting circle answers without appropriate precision. For rectangles and triangles, check that students multiply the correct dimensions, divide the triangle’s base-height product by 2, and include square units rather than linear units.

How do I assign and grade this area of circles, rectangles, and triangles worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for the 15 multiple-choice questions. Printable submissions can be graded by scanning student work with the Wayground for Teachers app.

How can I differentiate this worksheet for students who need support with area formulas?

In the worksheet’s Advanced Settings, adjust font spacing or font size to make the circle, rectangle, and triangle questions easier to read, and enable a dyslexia-friendly font when useful. You can also translate the worksheet into another language so students can interpret the formulas, measurements, and answer choices more independently.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support essential skill and concept mastery. Browse more resources at https://wayground.com/en-us/worksheets.