A central angle theta in a circle of radius 8 m is subtended

A central angle theta in a circle of radius 8 m is subtended by an are of length 9 m. Find the measure of theta in degree. () theta = Find the measure of theta in radians. theta = 9/6 rad This exercise involves the formula for the are of a circular sector.

Solution

Dear Student Thank you for using Chegg !! Given Length of Arc = 9 m Radius of Circle = 8 m Let the angle subtended in degrees be A Length = (A/360)*2*pi*r 9 = (A/360)*2*3.14*8 0.179140127 = A/360 A = 64.49044586 Degree = 64.5 Degree In Radians = (pi/180)*A = (3.14/180)*64.49 = 1.125 Radians = 1.1 Radians Solution