AnswersPA-Geometry B-CRInscribed Angles

Area of a Circle and a Sector Answers

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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
2
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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
3

2 smaller circles are within a larger circle. The smallest circle has radius D C. Line segment C B is the distance to the rim of the next circle. Line segment B A is the distance to the rim to the next circle.

Question illustration
A
80
Option A
B
96
Option B
C
208
Option C
D
464
Option D
4

Which statements are true regarding the area of circle D? Select two options.

A
The area of the circle depends on the square of the radius.
B
The area of circle D is 36.
Option B
C
The area of circle D is 324
Option C
D
The area of the circle depends on the square of pi.
E
The area of the circle depends on the central angle.
5

Which statements are true about circle Q? Select three options.

A
The ratio of the measure of central angle PQR to the measure of the entire circle is .
Option A
B
The area of the shaded sector is 4 units2.
C
The area of the shaded sector depends on the length of the radius.
D
The area of the shaded sector depends on the area of the circle.
E
The ratio of the area of the shaded sector to the area of the circle is equal to the ratio of the length of the arc to the area of the circle.
6

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
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

Smaller circle C is inside larger circle C. The smaller circle is labeled the garden. The radius of the smaller circle is 8 feet. The distance from the rim of the inner circle to the rim of the outer circle is 3 feet.

Question illustration
A
172.70 ft2
B
178.98 ft2
C
200.96 ft2
D
379.94 ft2
9

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
10

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

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