Question

$\frac{1}{9}th$ region of the circle with the radius $3\sqrt{7}$ cm is shaded. Then find the area of the unshaded region.

• A. $154$ sq. cm
• B. $176$ sq. cm
• C. $44$ sq. cm
• D. $22$ sq. cm

Answer 1

Answer: (B)

The correct option is B $176$ sq. cm
Radius $r=3\sqrt{7}$ cm

Area of the circle $=\pi r^2=3.14\times 63=197.82c{m}^2$

Shaded region $=\frac{Areaofcircle}{9}=21.98c{m}^2$

Area of unshaded part $=Wholearea-shadedarea=197.82-21.98=175.84=176c{m}^2$

Hence, $176$ sq. cm is unshaded.