Question

The area of the shaded portion in the given figure, where the area are quadrants of a circle is

• A. $42{\text{cm}}^2$
• B. $56{\text{cm}}^2$
• C. $64{\text{cm}}^2$
• D. $144{\text{cm}}^2$

Answer 1

Answer: (A)

$42{\text{cm}}^2$

Required are = Area of square - 4 $\times$ Area of one sector
$=14\times 14-4\times \frac{1}{7}\times \pi \times 7^2$
$=196-\frac{22}{7}\times 7^2=42$