The center C of the larger circle lies on another circle in which the diameter coincides with chord AB of the larger circle. Find the area of the shaded region if AB measures 12 cm.

Question

Answer 1

Label center of circle ABC, D.

CD = 6

AD = 6

CA = 6√2

∠ACB = 90º

Area of small circle is 36π

Area of semi-circle right of AB is 18π

With given data determine area of segment AB and subtract from 18π