Question

Find the area of a circle whose circumference is $220$ m.

Answer 1

For a circle,

circumference = $2\pi r$

Area = $\pi r^2$

where r is the radius of the circle & $\pi =22/7$

$\therefore$ Given, circumference $=220m$

$\Rightarrow 2\pi r=220$

$\Rightarrow r=\frac{220}{2.22/7}$

$\Rightarrow r=5\times 7$

$\Rightarrow r=35m$

Area = $\pi r^2$

$\Rightarrow$ Area = $\frac{22}{7}\times 35\times 35$

$\Rightarrow$ Area = $3850m^2$

$\therefore$ Area of the circle is $3850m^2$