Question

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

0.375 rad
1.05 rad
2.3 rad

Answer 1

.375 rad

Explanation:

Using the equation w=v/r

w=3/8

w=.375

Answer 2

option (A)

central angle = 0.375 rad

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