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Worksheets

Shaded Area

Total questions: 18

Worksheet time: 2hrs 28mins

Name
Class
Date
1.
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
2.
6. The figure shows 2 circles inside a trapezoid.
Which procedure should be used to find the area of the shaded region?
a)
Subtract the perimeter of the trapezoid from the area of both circles.
b)
Subtract the circumference of both circles from the area of the trapezoid.
c)
Subtract the area of the trapezoid from the area of both circles.
d)
Subtract the area of both circles from the area of the trapezoid.
3.
What is the area of the shaded region?
a)
14 m2
b)
120 m2
c)
106 m2
d)
134 m2
4.
What is the area of the shaded region?
a)
4 cm2
b)
16 cm2
c)
8 cm2
d)
12 cm2
5.
a)
122.46 mi2
b)
122. 45 mi2
c)
175.84 mi2
d)
175.85 mi2
6.
a)
372.12 km2
b)
372.11 km2
c)
744.24 km2
d)
744.23 km2
7.
a)
3888.83 in2
b)
3888.84 in2
c)
3889 in2
d)
3388.83 in2
8.

Calculate the area of the shaded region.


Tip: The lengths of the triangle's base and height are 10.2 ft and 28 ft., respectively.

a)

387.4 ft. 2

b)

235.4 ft. 2

c)

295.6 ft. 2

d)

244.6 ft. 2

9.

Find the area of the shaded region. Round to the nearest tenth, and use the pi button on your calculator.

a)

63.6 cm 2

b)

69.5 cm 2

c)

98.4 cm 2

d)

34.8 cm 2

10.
Calculate the area of the shaded part.
a)
31 cm2
b)
30 cm2
c)
35 cm2
d)
37 cm2
11.
Find the arc length.  Leave your answer in terms of π.
a)
7/4π
b)
7/2π
c)
1/8π
d)
45π
12.
Find the length of the bold arc.Leave pi in your answer.
a)
5688π ft
b)
15.8π ft
c)
150.4π ft
d)
54,150 ft
13.
Find the area of each sector.
a)
52.4 in2
b)
18,864 in2
c)
60 in2
d)
10.47 in
14.
Find the area of each sector.
a)
4248 m2
b)
7.9 m2
c)
2827.4 m2
d)
11.8 m2
15.

What is the area of sector​ GPH?

a)

9π yd2

b)

32π yd2

c)

18π yd2

d)

6π yd2

16.

Find the area of the shaded sector of the circle.

a)
b)
c)
d)
17.
Find the area of the shaded sector of circle O.  The radius is 6 inches and the central angle is 100°.  Express answer to the nearest tenth of a square inch.
a)
9.2 sq. in.
b)
10.5 sq. in.
c)
31.4 sq. in.
d)
38.2 sq. in.
18.

Find the length of the arc

a)

43.98cm

b)

439.82cm

c)

219.91cm

d)

21.99cm