Question

Find the area of the shaded region, given that the radius of each circle is equal to $5cm$.

• A. $(400-100\pi )c{m}^2$
• B. $(360-100\pi )c{m}^2$
• C. $231c{m}^2$
• D. $(400-50\pi )c{m}^2$

Answer 1

Answer: (A)

(i) Find the area of the square formed by joining the centers of all outer circles.
(ii) The required area $=$ Area of the square -16 $(\frac{1}{4}\times$ Area of circle $)$