AnswersOH-Geometry BSolving for Side Lengths of Right Triangles

Area of a Circle and a Sector Answers

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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
2
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The area of circle Z is 64 ft2.

Question illustration
A
r = 4 ft
B
r = 8 ft
C
r = 16 ft
D
r = 32 ft
3

Fiona draws a circle with a diameter of 14 meters. What is the area of Fiona’s circle?

A
7
Option A
B
14
Option B
C
28
Option C
D
49
Option D
4

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
5

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
6

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
7

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.
8

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 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

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

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