High School

If minor arc AB measures 97 inches, what is the length of the radius of circle C? If necessary, round your answer to the nearest inch.

A. 6 inches
B. 12 inches
C. 18 inches
D. 24 inches

Answer :

Answer:

The correct option is (b).

Step-by-step explanation:

Given that,

The length of the minor arc = 9 inches

We need to find the length of the radius of circle C.

Let the angle is 0.75 radians.

So,

Radius,[tex]r=\dfrac{l}{\theta}[/tex]

Put all the values,

[tex]r=\dfrac{9}{0.75}\\\\r=12\ inches[/tex]

So, the radius is 12 inches.

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