If the circumference of a circle is $176\ cm$, find its radius.


Given: Circumference of a circle is $176\ cm$.

To do: To find its radius.

Solution:


Let $r$ be the radius of the circle.

$\therefore$ Circumference of the circle$=2\pi r$

But Circuference of the circle$=176\ cm$          [Given]

$\Rightarrow 2\pi r=176$

$\Rightarrow r=\frac{176}{2\pi}$

$\Rightarrow r=\frac{176}{2\times\frac{22}{7}}$

$\Rightarrow r=\frac{716\times7}{2\times22}$

$\Rightarrow r=28\ cm$

Thus, the radius of the circle is $28\ cm$.

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Updated on: 10-Oct-2022

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