Question

find the area of the circle whose circumference is 22cm

Answer 1

Since circumference is given

2πr = 22

2 × 22/7 × r = 22

r = 7/2 cm.

Area of circle = πr^2

= 22/7 × 7/2 × 7/2

= 77/2 = 38.5 cm^2

Answer 2

Q. Find the area of the circle whose circumference is 22cm.

$\mathbb{\underline { SOLUTION }}$:

Given :
Circumference of circle = 22cm

=> 2πr = 22

=> 2 × $\frac{22}{7}$ × r = 22

=> $\frac{44}{7}$ × r = 22

=> r = 22 × $\frac{7}{22}$

=> r = $\frac{7}{2}$ = 3.5 cm

Now,
area of the circle = πr²

= $\frac{22}{7}$ × (3.5)²

= $\frac{22}{7}$ × 12.25

= 38.5 cm²

Hence, the area of the circle is $\bf{38.5}$ cm².