Question

if the circumference of a circular sheet is 154m ,find its radius .also find the area of the sheet.(take\piπ =22/7)

Answer 1

$2\pi r = 154 \\ r = 154 \times 7 \div 22 \times 2 \\ r = 24.5m$
So radius is 24.5
Are is
$\pi r {}^{2} \\ 22 \div 7 \times 24.5 \times 24.5 \\ 1886.5m {}^{2}$

Answer 2

Heya,

Circumference= 154m

To find radius,

Circumference = 2πr
=> 154 = 2 × 22/7 × r

=> 154 × 7/2 × 22 = r

=> 7 × 7/ 2 = r

=> 3.5 × 7 = r

=> 24.5 = r

Therefore,

Radius = 24.5m

To find the area of the circular sheet,

Area = πr^2
=> Area = 22/7 × 24.5 × 24.5

=> Area = 22 × 3.5 × 24.5

=> Area = 77 × 24.5

=> Area = 1,886.5

Therefore,

The area of the circular sheet is 1,886.5 m^2

Hope my answer helps you :)

Regards,
Shobana