Question

The circumference of a corcle is double the perimeter of square having area 484 m^2. what is the area of the circle.
Ans:2464 cm^2

Answer 1

Given

• Area of square = 484cm²
• circumference of a circle is double the perimeter of square

To Find

• Area of the circle.

we know that

$\\{Area \: of \: square = ( Side) ^{2} }$

$~~~~~\implies Side = \sqrt{484}$

$~~~~~\implies Side = \sqrt{ {22}^{2} }$

$~~~~~\implies Side = 22c m$

Side of square= 22cm

$\\~~~~~\implies Perimeter \: of \: square= 4 × side$

$~~~~~\implies Perimeter \: of \: square= 4 × 22$

$~~~~~\implies Perimeter \: of \: square= 88cm$

• It is Given that circumference of a circle is double the perimeter of square

$\\{Circumference \: of \: Circle= 2 \times Perimeter \: of \: square}$

${Circumference \: of \: Circle= 2 \times 88}$

${Circumference \: of \: Circle = 176cm}$

Hance The Circumference of Circle= 176cm.