Question

If the larger circle of radius 6 cm has four smaller circles of radius 2 cm, then find the area of the shaded portion.

• A. $60.8c{m}^2$
• B. $61.8c{m}^2$
• C. $62.8c{m}^2$
• D. $63.8c{m}^2$

Answer 1

The correct option is C

$62.8c{m}^2$

Given,
$Radiusofthelargercircle{r}_1=6cm$
$andradiusofthesmallercircle{r}_2=2cm$

Area of shaded portion
$=\pi r_1^2-4\pi r_2^2$
$=\pi (6^2-4\times 2^2)=\pi (36-16)=3.14\times 20=62.8c{m}^2$