Find the radius of a circle which has a sector of area 27 sq

Find the radius of a circle which has a sector of area 27 square inches determined by a central angle 1/3 radian. r inches (Type an integer or decimal rounded to three decimal places as needed.)

Solution

sector area = 27 square inches

central angle = 1/3 radian = 19.09 degrees

Area = n / 360 * pi r^2

27 = 19.09 / 360 * 3.14 r^2

27 = .16650 r^2

r = 12.734 inches approx