Area of a Circle and a Sector Answers

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An arc on a circle measures 295°. The measure of the central angle, in radians, is within which range?

A
0 to radians
Option A
B
to π radians
Option B
C
π to radians
Option C
D
to 2π radians
Option D
2
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Circle P has a circumference of approximately 75 inches.

Question illustration
A
12 inches
B
24 inches
C
38 inches
D
46 inches
3

Consider circle T with radius 24 in. and θ = radians.

Question illustration
A
20π in.
B
28π in.
C
40π in.
D
63π in.
4

An arc on a circle measures 125°. The measure of the central angle, in radians, is within which range?

A
0 to radians
Option A
B
to π radians
Option B
C
π to radians
Option C
D
to 2π radians
Option D
5

In circle O, the length of radius OL is 6 cm and the length of arc LM is 6.3 cm. The measure of angle MON is 75°.

Question illustration
A
7.9 cm
B
10.2 cm
C
12.6 cm
D
14.2 cm
6

Minor arc KL measures 135°.

Question illustration
A
radians
Option A
B
radians
Option B
C
radians
Option C
D
radians
Option D
7

In circle M, diameters JL and HK each measure 16 centimeters.

Question illustration
A
3.5 cm
B
6.9 cm
C
21.6 cm
D
46.8 cm
8

Two similar circles are shown. The circumference of the larger circle, with radius OB, is 3 times the circumference of the smaller circle, with radius OA.

Question illustration
A
x units
Option A
B
x units
Option B
C
2πx units
D
6πx units
9

Major arc CBD measures 300°.

Question illustration
A
radians
Option A
B
radians
Option B
C
radians
Option C
D
radians
Option D
10

Arc AB is of the circumference of a circle. What is the radian measure of the central angle?

Question illustration
A
StartFraction pi over 6 EndFraction
Option A
B
StartFraction pi Over 3 EndFraction
Option B
C
StartFraction 2 pi Over 3 EndFraction
Option C
D
StartFraction 5 pi Over 6 EndFraction
Option D

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