56
Find the area of the shaded region if length of radius of each circle is $7$ cm. Each circle touches the other two externally.
_q_1.png)
Show SolutionHide Solution↓
Side of square $= 14$ cm
Area of shaded region $=$ area of square $-$ area of $4$ quadrants
$= 14^2 - 4 \times \frac{22}{7} \times 7^2 \times \frac{90}{360}$
$= (196-154) = 42$
Hence, area of shaded region $= 42$ cm$^2$
Area of shaded region $=$ area of square $-$ area of $4$ quadrants
$= 14^2 - 4 \times \frac{22}{7} \times 7^2 \times \frac{90}{360}$
$= (196-154) = 42$
Hence, area of shaded region $= 42$ cm$^2$