 Practice with Area of Sectors and Segments Terms of Use    Contact Person: Donna Roberts  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 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. 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 mAOB 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. 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. 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. 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 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 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 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. 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 10.
Circle O with diameter 8 inches, congruent to , and mAOC = 60º. Find the area of the segment of the circle formed by minor (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.  