Find the radian measure of the central angle of a circle of radius 14 feet that intercepts an arc of length 9 ft.

central angle is 1.55 rad

Explanation:

Given data

radius = 14 feet

length = 9 ft

to find out

radian measure of the central angle

solution

we know here arc length and radius

so we will apply here formula for central angle that is

radius = arc × ∅

∅ = radius / arc

put here all these value

∅ = 14 / 9

∅ = 1.55 radian

so central angle is 1.55 rad