Question

A circle has an arc of length 56 pie that is intercepted by a central angle of 120°.

Answer 1

Answer:

Therefore radius is 84 units.

Step-by-step explanation:

Given:

arc length = 56 pie

Central angle = θ = 120°

pi = 3.14

To Find:

Radius = r =?

Solution:

If the θ  measured in degree then the arc length is given as

$\textrm{arc length}=\dfrac{\theta}{360\°}\times 2\pi r$

Where r = radius, θ = Central angle

On substituting the values we get

$56\pi=\dfrac{120}{360}\times 2\pi\times r\\\\r=\dfrac{3\times 56}{2}=84\\\therefore r=84\ unit$

Therefore radius is 84 units.