Though somewhat disguised, the shaded region is 1/3 of a circle of radius 10 cm. Thus,

Area_circle = pi * r * r = 3.14 * 10 * 10 = 314, and so

Area_Shaded = 1/3 * 314 = 314/3 square cm.

Or if we assume the question is asking to two significant digits (because of its approximation for pi) the answer is 104.67 square cm.