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Harlamova29_29 [7]
3 years ago
12

What is the radius of a circle with a central angle of 4π/7 radians that intercepts an arc of length 12π inches?

Mathematics
1 answer:
Margarita [4]3 years ago
8 0

Answer:

21 inches

Step-by-step explanation:

If \alpha is the central angle, then the length of the arc on which this angle subtends is

l=r\cdot \alpha.

Hence,

12\pi =\dfrac{4\pi}{7}\cdot r,\\ \\r=\dfrac{12\pi}{\frac{4\pi}{7}}=\dfrac{12\pi}{1}\cdot \dfrac{7}{4\pi}=21\ in.

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