AnswersGeometry B-CRFigures in the Coordinate Plane (Sec 9-1)

Area of a Circle and a Sector Answers

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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
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

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.
4

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
5

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
6

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.
7

Circles G and X are connected at point H. The length of G H is 6 centimeters and the length of H X is 8 centimeters.

Question illustration
A
16
Option A
B
36
Option B
C
49
Option C
D
98
Option D
9

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
10

Circle X and Y are connected at one side. Larger circle C surrounds both circles. Line segment W Z is the diameter of circle C. The line segment goes through all points of the other circles. The length of W X is 8 and the length of Y Z is 10.

Question illustration
A
81
Option A
B
164
Option B
C
324
Option C
D
1296
Option D

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