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A circle has an arc of length 56? that is intercepted by a central angle of 120. What is the radius of the circle?

User Sayooj
by
8.6k points

1 Answer

3 votes

Answer:

r = 84

Explanation:

In order to solve this question, we need the formula for the arc length.

The correct formula is:


(central-angle)/(360) * 2\pi r

Plugging the numbers into this formula, we find that:


(120)/(360)*2\pi r=56\pi


r=84

User Gaurav Arora
by
7.7k points

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