Question

Find the measure of a central angle that intercepts an arc of 3 inches in a circle whose radius is 8 inches.

Answer 1

Answer:

option (A)

central angle = 0.375 rad

Step-by-step explanation:

Given in the question,

radius of the circle = 8 inches

arc of the circle = 3 inches

To find,

measure of a central angle

Central angles are subtended by an arc between those two points.

Formula to use:

    s = (r) (θ)

where r = radius

           s = arc length

           θ = angle in radians

Plug in the values in the equation

3 = (8) (θ)

θ = 3/8

0.375 rad