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hello todays problem is find the area of the shaded region there are two semicircles two diameters intersect at a right angle the diameter length is 20 centimeters pi is 3.14 lets start solving this problem at first we add tangent line parallel to the semicircle diameter to divide the region the intersection is the center of the semicircle these line segments are radius of the semicircle so the line segment length is 10 centimeters you can see a square with a side of 10 centimeters the area of the square is 10 times 10 equals 100 square centimeters the remaining region consists of two sectors this is a quarter sector one quarter plus one quarter equals one-half the area of a circle with a radius of 10 centimeters is 10 times 10 times 3.14 it is the area of the circle the area of the shaded sectors is half of the circle so times one-half equals 157 square centimeters area of the square is 100 square centimeters the area of the sectors is 157 square centimeters the area of the shaded r
