Question

12. Two concentric circles have radii of 14 cm and 7 cm respectively. Find the area of space between them​

Answer 1

Given:-

Two concentric circles with radii r1= 14 cm and r2= 7cm

To Find:-

• the area of space between 2 concentric circles

For Information:-

* Concentric circles are circles with a common center. The region between two concentric circles of different radii is called an annulus.

$area \: of \: circle =$

$\huge\tt\pink{\boxed{\tt{\blue{ → \pi \times {r}^{2} }}}}$

Solution:-

for finding the space between the two concentric circles, we just subtract the area of circle 1 with circle 2

So,

$area \: of \: space \: between \: 2 \: cocentric \: circle = \pi( {r1}^{2} - {r2}^{2})$

$→\pi( {14}^{2} - {7}^{2})cm²$

$→\pi(196 {cm}^{2} -49 {cm}^{2} )$

$→ \frac{22}{7} \times 147 {cm}^{2}$

$→22 \times 21 {cm}^{2}$

$→462 {cm}^{2}$