WorksheetsArea of circles/shaded and complex
Total questions: 50
Worksheet time: 5hrs 54mins
Name
Class
Date
1.
The line segment between the center and a point on the circle
a)
Radius
b)
Diameter
c)
Chord
d)
Tangent
2.
What is the radius of this circle?
a)
18 in
b)
36 in
c)
9 in
d)
8 in
3.
What is the distance around a circle?
a)
Circumference
b)
Area
c)
Diameter
d)
Radius
4.
Find the area of the shaded region using the formulas.
a)
(4 x 8) + (3.14 x 12)
b)
(3.14 x 12) - (4 x 8)
c)
(4 x 8) - (3.14 x 22)
d)
(4 x 8) - (3.14 x 12)
5.
You have two circles. Each circle has a diameter of 8. What is the total area of the two circles?
a)
50.24
b)
100.48
c)
200.96
d)
401.92
6.
You buy a pizza. The diameter of the pizza is 16 Inches. You only eat half of the pizza. how many square inches of pizza did you eat?
a)
200.96
b)
100.48
c)
48
d)
24
7.
You want to put fencing around the edge of a garden. The circular garden has a radius of 6 feet. How long will your fence be?
a)
18.84
b)
113.04
c)
37.68
d)
56.52
8.
Find the composite area.
a)
6.28
b)
24
c)
40
d)
38.28
9.
Find the composite area.
a)
72.12
b)
146.24
c)
96
d)
121.12
10.
From the center of a wind turbine to the tip of one of its blades measures 16 meters. What is the total area covered by the blade?
a)
803.84
b)
100.48
c)
3215.36
d)
50.24
11.
A circular fountain has a drain in the center. The distance from the drain to the edge of the fountain is 3 feet. What is the approximate circumference of the fountain?
a)
6 feet
b)
9 feet
c)
15 feet
d)
18 feet
12.
A ceiling fan is pictured above. The tip of one of the fan blades is labeled point A. Point A is 28 inches away from the center of the fan. About how far does point A on the fan travel when the fan blades make one full revolution?
a)
28 inches
b)
56 inches
c)
176 inches
d)
88 inches
13.
The Ferris wheel at the State Fair of Texas is 450 feet across. How many feet would a person travel if they rode around the Ferris wheel 6 times?
a)
1,413 feet
b)
2,826 feet
c)
8,478 feet
d)
4,239 feet
14.
A semicircle opening above the entrance at Six Flags has a diameter of 15 feet. What is the area of this opening? Round to the nearest tenth.
a)
706.5 square feet
b)
47.1 square feet
c)
88.3 square feet
d)
176.6 square feet
15.
A semicircle opening above the entrance at Six Flags has a diameter of 15 feet. What is the area of this opening? Round to the nearest tenth.
a)
706.5 square feet
b)
47.1 square feet
c)
88.3 square feet
d)
176.6 square feet
16.
The Cruz family is buying a custom-made cover for their swimming pool, shown above. The cover costs $2.95 per square foot. How much will the cover cost? Round to the nearest cent.
a)
$422.10
b)
$551.63
c)
$1,627.29
d)
$1,106.25
17.
A circular swimming pool is 21 feet in diameter.
How many feet around is the pool?
How many feet around is the pool?
a)
10.5 ft
b)
42 ft
c)
65.94 ft
d)
131.95 ft
18.
A cruise ship has a large, circular window. It has a diameter of 8 meters. What is the window's area?
a)
31.25 m2
b)
29.55 m2
c)
30.36 m2
d)
50.27 m2
19.
Mrs. Wilson placed the welcome mat shown below on her front door step. What is the area of her welcome mat in square feet? Leave in terms of π.
a)
A = 2π
b)
A = 8π
c)
A = 10π
d)
A = 4π
20.
What is the area of this semi circle?
a)
100.5 square cm
b)
25.1 square cm
c)
50.3 square cm
d)
12.6 square cm
21.
Find the area of the composite figure.
a)
100
b)
400
c)
137.5
d)
175
22.
Solve.
a)
78.5 cm2
b)
100 cm2
c)
21.5 cm2
d)
121.5 cm2
23.
Solve.
a)
386.97 cm2
b)
122.5 cm2
c)
50.3 cm2
d)
102.4 cm2
24.
Marlene wants to enclose her circular vegetable garden with fencing to keep rabbits from eating the vegetables. If the diameter of her garden is 14 feet, how much fencing will she need to buy if fencing is sold by the linear foot?
a)
44 ft
b)
88 ft
c)
615 ft
d)
14 ft
25.
One medium circle and one small circle touch each other, and each of these circles touches the large circle. Calculate the area of the shaded region.
a)
376.8 sq cm
b)
907.46 sq cm
c)
453.73 sq cm
d)
99 sq cm
26.
One small circle is completely inside a larger circle. Both circles share the same center point. Calculate the area of the shaded region.
a)
200.96 sq cm
b)
28.26 sq cm
c)
803.84 sq cm
d)
172.7 sq cm
27.
Compute the diameter of a circle with a circumference of 25 feet.
a)
7.96 ft
b)
39.27 ft
c)
1962.5 ft
d)
0.1256 ft
28.
Jackson High School is building a new running track. The track is constructed from a rectangle and two semicircles. The inside of the track will all be grass. Determine the area of grass needed to fill in the track. Round to the nearest whole number.
a)
83,669 sq ft
b)
51,000 sq ft
c)
59,167 sq ft
d)
65,149 sq ft
29.
Sonya wants to put a ribbon border along the edge of her round tablecloth. If the diameter of the tablecloth is 38 inches, how many inches of ribbon will Sonya need to buy?
a)
119.32 in
b)
1133.54 in
c)
4536.16 in
d)
19 in
30.
A rectangle is inscribed in a circle. Calculate the area of the shaded region using 3.14 for π.
a)
120 sq in
b)
106.87 sq in
c)
787.46 sq in
d)
226.87 sq in
31.
If a 12-inch diameter pizza costs $9.75, what is the cost per square inch?
a)
0.09
b)
0.02
c)
0.81
d)
$ 1.23
32.
Find the area of the semicircle.
a)
692.37 cm2
b)
2769.48 cm2
c)
1384.74 cm2
d)
131.88 cm2
33.
Find the area of the quadrant.
a)
94.985 cm2
b)
379.94 cm2
c)
69.08 cm2
d)
189.97 cm2
34.
Find the length of the arc of the quadrant.
a)
21.98 ft
b)
87.92 ft
c)
615.44 ft
d)
10.99 ft
35.
Find the length of the semicircular arc.
a)
21.98 ft
b)
43.96 ft
c)
76.93
d)
307.72
36.
Find the perimeter (distance around the outside) of this figure.
a)
55.7 in.
b)
65.7 in.
c)
71.4 in.
d)
61.4 in.
37.
Find the total area of this figure.
a)
44.13 cm2
b)
39.42 cm2
c)
74.13 cm2
d)
60 cm2
38.
Find the shaded area.
a)
461.58 cm2
b)
769.3 cm2
c)
615.44 cm2
d)
153.86 cm2
39.
A semicircle is inside of a square. Find the shaded area.
a)
546.75 cm2
b)
1253.25 cm2
c)
193.5 cm2
d)
353.25 cm2
40.
A triangle is inside of a quadrant. Find the shaded area.
a)
24.465 cm2
b)
52.465 cm2
c)
125.86 cm2
d)
10.465 cm2
41.
Find the perimeter (distance around outside) of the figure.
a)
46.56 cm
b)
59.12 cm
c)
54.56 cm
d)
84.24 cm
42.
1. Mason needs to purchase new glass for the window pictured here. About how many square feet of glass will he need to purchase?
a)
20 ft2
b)
13 ft2
c)
26 ft2
d)
41 ft2
43.
2. The figure shows a circle inside a triangle. Which equation could be used to find the area of the shaded region?
a)
A = ½bh - 2πr
b)
A = πr² - ½bh
c)
A = ½bh - πd
d)
A = ½bh - πr²
44.
4. A local restaurant places tissue-paper liners in baskets for yeast rolls like the liner pictured.
About how many square centimeters of tissue paper are needed to make one liner?
About how many square centimeters of tissue paper are needed to make one liner?
a)
200.96 cm2
b)
379.2 cm2
c)
251.2 cm2
d)
253.6 cm2
45.
7. Which of the following is closest to the area of the figure shown?
a)
420 cm2
b)
521 cm2
c)
320 cm2
d)
1,124 cm2
46.
Find the perimeter of the figure. Use 3.14 for pi.
a)
20.56 in.
b)
17.3 in.
c)
17.8 in.
d)
31.88 in.
47.
What is the perimeter of the semi-circle?
a)
11 yd
b)
17.27 yd
c)
34.54 yd
d)
28.27 yd
48.
What is the area of this composite shape? (Use 3.14 = π and round to the nearest tenths place)
a)
21
b)
19.2
c)
40.2
d)
42
49.
The diagram below shows the dimensions of Mrs. Patterson’s new swimming pool. A cover is needed for the pool, what will be the approximate area of the cover?
a)
720
b)
139.08
c)
580.92
d)
238.5
50.
What is the approximate area of the shaded region?
a)
70 cm2
b)
12 cm2
c)
82 cm2
d)
58 cm2
100 %
