AnswersGCS 2023-2024 Math 3 Credit RecoveryArea of a Circle and a Sector

Area of a Circle and a Sector Answers

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Circle S is shown. Line segment R T is a diameter. The length of S T is 4. Sector R S T is shaded.

Question illustration
A
4
Option A
B
8
Option B
C
16
Option C
D
20
Option D
2
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Circle G is shown. Line segment F G is a radius with length 3.

Question illustration
A
6
Option A
B
9
Option B
C
12
Option C
D
18
Option D
3

The measure of central angle YCZ is 80 degrees.

Question illustration
A
18 units2
Option A
B
36 units2
Option B
C
45 units2
Option C
D
81 units2
Option D
4

The measure of central angle XYZ is 1.25 radians.

Question illustration
A
10 units2
Option A
B
20 units2
Option B
C
40 units2
Option C
D
80 units2
Option D
5

Circle V is shown. Line segment T V is a radius with length 14 feet.

Question illustration
A
14
Option A
B
28
Option B
C
49
Option C
D
196
Option D
6

The diagram shows one way to develop the formula for the area of a circle. Pieces of a circle with radius r are rearranged to create a shape that resembles a parallelogram.

Question illustration
A
A = (2πr)(r)
B
A = (2πr)(2r)
C
A =(2πr)(r)
Option C
D
A =(2πr)(r2)
Option D
7

In the figure, angle ZYX is measured in degrees. The area of the shaded sector can be determined using the formula .

Question illustration
A
The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.
B
The central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector.
C
The central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.
D
The central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.
8

Circle L is shown. Line segments K L and M L are radii. The length of K L is 9. Angle M L K is 120 degrees. Sector M L K with a 120 degree angle is shaded.

Question illustration
A
9
Option A
B
27
Option B
C
81
Option C
D
162
Option D
9

The circular face of a watch has an area that measures between 800 and 900 square millimeters.What could be the radius of the watch face? Use 3.14 for .

Question illustration
A
14 mm
B
15 mm
C
16 mm
D
17 mm
10

Circles C and D overlap. The distance from point C to point D is 7 centimeters.

Question illustration
A
7
Option A
B
14
Option B
C
49
Option C
D
98
Option D

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