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

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:

where r = radius

           s = arc length

           θ = angle in radians

Plug in the values in the equation

.375 rad

Step-by-step explanation:

Using the equation w=v/r

w=3/8

w=.375

42

step-by-step explanation:

256/6=42