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Find the circumference of circle whose area is $16$ times the area of the circle with diameter $1.4\ cm$.
Given: A circle whose area is $16$ times the area of the circle with diameter $1.4\ m$.
To do: To find the circumference of circle.
Solution:
Area of circle $4=16$ times of diameter
Diameter $=1.4\ m$
Now, Area of circle $=16\times 1.4$
$=22.4\ m^2$
Then, Area of circle$=\pi r^2$
$\Rightarrow \pi r^2=22.4$
$\Rightarrow r^2=\frac{22.4}{\pi}$
$\Rightarrow r^2=\frac{22.4}{\frac{22}{7}}$
$\Rightarrow r^2=\frac{22.4\times 7}{22}$
$\Rightarrow r^2=7.12$
$\Rightarrow r=\sqrt{7.12}$
$\Rightarrow r=2.67\ m$
Now, Circumference of circle $=2\pi r$
$=2\times \frac{22}{7}\times 2.67$
$=2\times 3.14\times 2.67$
$=16.76\ m$.
Thus, the circumference of the circle is $16.76\ m$.
Updated on: 10-Oct-2022
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