Find the area of the shaded region in the fig | vedclass

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Question

(D) Area of square $ABCD = 14 	imes 14 \, cm^2 = 196 \, cm^2$.Since there are four circles in the square,the diameter of each circle is half the side

Vedclass · Accepted Answer

$42$

Vedclass · Answer

(D) Area of square $ABCD = 14 	imes 14 \, cm^2 = 196 \, cm^2$.Since there are four circles in the square,the diameter of each circle is half the side of the square.Diameter of each circle $= \frac{14}{2} \, cm = 7 \, cm$.Radius of each circle $(r) = \frac{7}{2} \, cm = 3.5 \, cm$.Area of one circle $= \pi r^2 = \frac{22}{7} 	imes \frac{7}{2} 	imes \frac{7}{2} \, cm^2 = \frac{77}{2} \, cm^2 = 38.5 \, cm^2$.Area of four circles $= 4 	imes 38.5 \, cm^2 = 154 \, cm^2$.Area of the shaded region = Area of square - Area of four circles.Area of the shaded region $= 196 \, cm^2 - 154 \, cm^2 = 42 \, cm^2$.

Find the area of the shaded region in the figure,where $ABCD$ is a square of side $14 \, cm$. (in $cm^2$)

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