Question

find the radian measure of a central angle of a circle with the radius of 13 feet that intercepts an arc of length 26 feet

Answer 1

0.64π rad

Explanation:

The formula for calculating the length of an arc is expressed as;

length of an arc = theta/360 * 2πr

r is the radius = 13 feet

arc length = 26feet

Substitute

26 = theta/360 * 2(3.14)(13)

26 = 81.64 theta/360

81.64 theta = 26 * 360

81.64 theta = 9360

theta = 9360/81.64

theta = 114.64

Hence the radian measure is 114.64/180 π = 0.64π rad