The measure of <ABC is 135 degrees.The length of radius BA is 8 centimeters

Question

What is the area of the shaded,larger sector? Use 3.14 for pie

A.125.6 cm squared

B.31.4 cm squared

C. 251.2 cm squared

D. 15.7 cm squared

Answer 1

The ratio of the area of the circle (pi * r **2) / the larger sector area = 360/(360-135) -->

pi * 8 **2/larger section area = 360/225

64 * pi /larger sector area = 1.6

larger sector area * 1.6 = 64 * pi

larger sector area = 64 * pi / 1.6 = 125.6 cm**2 (answer A)