Find the central angle in degrees of a circle of radius 600

Find the central angle, in degrees, of a circle of radius 6.00 in. when the intercepted are length is 5.00 in theta = 5/6 radians theta = 48 degree theta = 0.833 radians theta = 47.7 degree theta = 49.8 degree

Solution

radius = 6.00 in

intercepted arc = 5.00 in

central angle is given by the formula

theta = s / r

where , s = length of subtended arc

r = radius of the circle

theta = 5 / 6

theta = 5/6 radians ( option a)