Question

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

• A. $12(12-\pi )c{m}^2$
• B. $144(4-\pi )c{m}^2$
• C. $36\pi c{m}^2$
• D. $36(4-\pi )c{m}^2$

Answer 1

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

Area of shaded portion=area of square of side $12cm-4\times$ area of quadrant

$={\left(12\right)}^2-4\times \frac{1}{4}\times \pi \times {\left(6\right)}^2$

$=144-36\pi =36(4-\pi )c{m}^2$