Question

ABCD is a square of side 21 cm, DPBA and DQBC are quadrants of circles each of the radius 21 cm, the area of shaded region in the given figure is .

• A. $252c{m}^2$
• B. $262c{m}^2$
• C. $352c{m}^2$

Answer 1

The correct option is A $252c{m}^2$


Area of shaded region = Area of quadrant DPBA = Area of quadrant DQBC - Area of a square ABCD
$=(\frac{1}{4}\times \frac{22}{7}\times 21\times 21)+(\frac{22}{7}\times 21\times 21)-(21\times 21)=\frac{693}{2}+\frac{693}{2}-441=252c{m}^2$