Question

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

• A. $(400-100 \pi) cm ^2$
• B. $(360-100 \pi) cm ^2$
• C. $231 cm ^2$
• D. $(400-50 \pi) cm ^2$

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 $\left(\frac{1}{4} \times\right.$ Area of circle $)$