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Find the area of a circle whose circumference is 44 cm.
Given:
Circumference of a circle is $44\ cm$.
To do:
We have to find the area of the circle.
Solution:
Let the radius of the circle be $r$.
We know that,
Circumference of a circle of radius $r=2 \pi r$
Area of a circle of radius $r=\pi r^2$
Therefore,
Circumference of the given circle $=2 \times \frac{22}{7} \times r$
$44=\frac{44}{7} \times r \mathrm{~cm}$
$r=7 \mathrm{~cm}$.
Area of the given circle $=\frac{22}{7} \times(7)^{2} \mathrm{cm}^{2}$
$=22 \times 7 \mathrm{~cm}^{2}$
$=154 \mathrm{~cm}^{2}$
The area of the circle is $154\ cm^2$.
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