AnswersAHS Geometry - S2 CRCircumference and Arc Length

Circumference and Arc Length Answers

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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
2
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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
3

In each circle below, a 50° angle with a vertex at the center of the circle is drawn. How are minor arc lengths CD and EF related?

Question illustration
A
They are the same because the central angle measure is the same.
B
The arc lengths are proportional: .
Option B
C
The arc lengths are proportional: .
Option C
D
The arc lengths are proportional: .
Option D
4

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

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

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Circumference and Arc Length Answers — AHS…