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Practice with Area of Sectors
and Segments
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Practice Page
Directions: Read carefully! Do not assume diagrams are drawn to scale.
1.
Find the area of the sector shown at the right. The radius of the circle is 5 units and the length of the minor arc from A to B is 3.93 units. Express the answer to the nearest tenth of a square unit.

Choose:
6.2 sq. units
9.8 sq. units
10.4 sq. units
15.3 sq. units
sector1
 

 

 

2.
Find the area of the sector shown at the right. The radius of the circle is 9 cm. and the central angle of the sector is 120º. Express the answer to the nearest tenth of a square centimeter.

Choose:
18.8 sq. cm.
54.4 sq. cm.
84.8 sq. cm.
98.1 sq. cm.
sector2
 

 

 

3.
Find the area of the segment shown at the right. The radius of the circle is 5 in., the altitude of ΔAOB is 3 in., and m∠AOB is 106 degrees. Express the answer to the nearest tenth of a square inch.

Choose:
8.0 sq. in.
11.1 sq. in.
12.0 sq. in.
23.1 sq. in.
sector3
 

 

 

4.
Find the area of the segment shown at the right. The radius of the circle is 8 ft., and the central angle of the sector is 60º. Express the answer to the nearest tenth of a square foot.

Choose:
5.8 sq. ft.
16.4 sq. ft.
27.7 sq. ft.
33.5 sq. ft.
sector5aa
 

 

 

5.
A stained glass window is made in the shape of a semicircle. The window contains three congruent sections. If AB = 6 feet, find the area of each section of the window, to the nearest square foot.
sector4
 

Choose:
34 sq. ft.
19 sq. ft.
 12 sq. ft. 5 sq. ft.

 

 

6.
a) A pizzeria offers a luncheon special of single pizza slices (with the same toppings). All of these pizzas are cut into 8 equal slices. Which choice offers the larger amount of pizza?
one slice from a 18" pizza
two slices from a 12" pizza
both choices are the same
pizza
 

b) On Fridays, the pizzeria offers two single slices from a 12" pizza or a full single serving 6" pizza for the same price. Which choice offers a larger amount of pizza?
two slices from a 12" pizza
one single serving 6" pizza
both choices are the same

 

 

7.
ΔABC is equilateral with midpoints M and N and AB = 10 units. A sector of a circle with center at A and radius am is cut from the triangle. Find the area of the remaining section (the shaded section) of the triangle, to the nearest square unit.

Choose:
13 sq. units
30 sq. units
34 sq. units
43 sq. units
sector7

 

 

8.
ABCD is a square with a side length of 6 inches. Points A and C are the centers of the two congruent arcs. Find the area of the overlapping portions of the two sectors (the shaded region), to the nearest square inch.

Choose:
10 sq. in.
18 sq. in.
21 sq. in.
28 sq. in.
sector8
 

 

 

9.
ABCD is a square with a side length of 12 units and midpoints M, N, O and P. Find the area of the portion of the square remaining (the shaded region), when 4 sectors, centered at A, B, C and D, are cut from the square, to the nearest square unit.

Choose:
116 sq. units
106 sq. units
43 sq. units
31 sq. units
sector9

 

 

10.
Circle O with diameter 8 inches, abcongruent to bc, and m∠AOC = 60º. Find the area of the segment of the circle formed by minor arcab (the shaded region). Express the answer to the nearest tenth of a square inch.

Choose:
12.1 sq. in.
16.9 sq. in.
33.0 sq. in.
79.3 sq. in.
sector10
 



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