A circle has a radius of 12 units and its center is at one vertex of a square. The square has a side of 12 units. Find the area of the shaded region?

+4 votes

+1 vote

area of yellow sector inside circle=144*pi/8=56.54862 sq cm

therefore area of both sectors= 113.09724 sq cm

area outside the circle= 144-113.09724 = 30.90276 sq cm

thus yellow area outside circle = 15.45138 sq cm

hence whole yellow area= 56.54862+15.45138=72 sq cm

without calculations

since white area and yellow area are same each=0.5*144=72 sq cm

+1 vote

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