Find the central angle which forms a sector of area 24 squar

Find the central angle which forms a sector of area 24 square centimeters of a circle of radius 10 centimeters. radian (Type an integer or decimal rounded to three decimal places as needed.) Enter your answer in the answer hox

Solution

Area of sector of a circle with central angle theta is given as:

(pi*r^2)(theta/2pi)

r = 10cm

So, (pi*100)(theta/2pi) = 50theta = 24

theta = 24/50 = 0.480 radians