Question

The quadrants shown in the given figure are each of diameter $12cm$. What is the area of the shaded portion?

• A. $36(4-\pi )c{m}^2$
• B. $36\pi c{m}^2$
• C. $12(4-\pi )c{m}^2$
• D. $12\pi c{m}^2$

Answer 1

The correct option is A $36(4-\pi )c{m}^2$

Area of shaded portion $=$ Area of square $-4\times$ Area of one quadrant
$=(12\times 12)c{m}^2-(4\times \frac{1}{4}\times \pi \times 6^2)c{m}^2$
$=(144-36\pi )c{m}^2=36(4-\pi )c{m}^2$