3 years ago

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

Mathematics

1 answer:

hram777 [196]3 years ago

8 0

Answer:

r = 84

Step-by-step explanation:

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

The correct formula is:

$\frac{central-angle}{360} * 2\pi r$

Plugging the numbers into this formula, we find that:

$\frac{120}{360}*2\pi r=56\pi$

$r=84$

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