A circle with radius $7 c m$ is drawn inside a rhombus with diagonals $21 c m a n d 32 c m$ . Find the area of the shaded region.

182

c m^{2}

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180

c m^{2}

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181

c m^{2}

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183

c m^{2}

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Solution

The correct option is A 182 $c m^{2}$
Area of rhombus $= \frac{(21) (32)}{2} = 336$
Area of circle $= π (7^{2}) = 154$
Area of region=area of rhombus-area of circle
$= 336 - 154 = 182 c m^{2}$

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A circle with radius 7cm is drawn inside a rhombus with diagonals 21cmand32cm. Find the area of the shaded region.

The correct option is A 182cm2Area of rhombus=(21)(32)2=336Area of circle=π(72)=154Area of region=area of rhombus-area of circle=336−154=182cm2

A circle with radius $7 c m$ is drawn inside a rhombus with diagonals $21 c m a n d 32 c m$ . Find the area of the shaded region.

The correct option is A 182 $c m^{2}$
Area of rhombus $= \frac{(21) (32)}{2} = 336$
Area of circle $= π (7^{2}) = 154$
Area of region=area of rhombus-area of circle
$= 336 - 154 = 182 c m^{2}$