A Determine the measure of an angle in radians that cuts off

A Determine the measure of an angle (in radians) that cuts off an arc length of 7.4 inches in a circle with a 7.4 inch radius. radians Determine the measure of an angle (m radians) that cuts off an arc length 0f 14.8 inches m a circle with a 7.4 inch radius radians Determine the measure of an angle (in radians) that cuts off an arc length of 14 06 inches in a circle with a 7.4 inch radius radians

Solution

a) r = 7.4 inch ; arc length = 7.4 inch

theta = arclength/radius = 7.4/7.4 = 1 radian

b)

r = 7.4 inch ; arc length = 14.8 inch

theta = arclength/radius = 14.8/7.4 = 2 radian

c)

r = 7.4 inch ; arc length = 14.06 inch

theta = arclength/radius = 14.06/7.4 = 1.9 radian