Question

The area of the shaded region is ___ $c{m}^2$

• A. True
• B. False
• C. 268.5
• D. 270

Answer 1

The correct option is A

True

Area of the shaded region $=\pi (R^2-r^2)$
$=\frac{22}{7}({13.5}^2-{10}^2)$
$=\frac{22}{7}\left(23.5\right)\left(3.5\right)$.....$[a^2-b^2=(a+b\left)\right(a-b\left)\right]$
$=\frac{\text{/}{22}^{11}}{\text{/}7}\left(\frac{235}{10}\right)\left({\frac{\text{/}{35}^{\text{/}5}}{\text{/}10}}_{\text{/}2}\right)$
$=258.5c{m}^2$