Physics

# In figure, $A,B,C,D$ are centre of equal circles which touch externally in pairs and $ABCD$ is a square of side $7cm$. Find the area of the shaded region.

##### SOLUTION
Area of square ABCD $=7^2$
$=49\ cm^2$
Radius $=\dfrac{Side\ of\ square}{2}$
$=\dfrac{7}{2}\ cm$
Area of 4 quadrant $=4\times\dfrac{1}{4}\pi r^2$
$=4\times\dfrac{1}{4}\times\dfrac{22}{7}\times\dfrac{7}{2}\times\dfrac{7}{2}$
$=\dfrac{77}{2}\ cm^2$
Area o shaded region $=49-\dfrac{77}{2}$
$=\dfrac{98-77}{2}$
$=\dfrac{21}{2}\ cm^2$

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Subjective Medium Published on 18th 08, 2020
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