Question

Find the area of a circle whose circumference is 44 cm

Answer 1

:

Circumference of circle =44cm

⇒ Circumference of circle =2πr

⇒ 44=2× 22/7 X 2

⇒ r= 44 X 7 /44 = 7 cm

⇒ Area of circle =2πr

⇒ Area of circle = 22/7 X 7²

⇒ Area of circle =22×7

∴ Area of circle =154cm²

Answer 2

Answer:

The area of a circle is $154cm^2$.

Step-by-step explanation:

In context to the question asked,

We have to find the area of a circle,

As per data given in the question,

Circumference = $44cm$

Let, r be the radius

For calculating radius,

The formula to be used for,

Circumference = $2\pi r$

$=> 44 =2\times \frac{22}{7}\times r$

$=> r = \frac{44\times 7}{2\times 22}$

$=> r = 7cm$

For calculating area,

The formula to be used for,

Area = $\pi r ^2$

By substituting the values,

$=> \frac{22}{7} \times 7\times 7$

$=> \frac{22}{7} \times 49$

$=> \frac{1078}{7}$

$=> 154cm^2$

Hence, the area of a circle is $154cm^2$