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The area of circle is 301.84 …

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The area of circle is 301.84 cm2 find its circumference

Posted by Muskan Sharma 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

We have,
Area of circle = 301.84 cm²
{tex}\Rightarrow \pi {r^2} = 301.84{/tex}
{tex}\Rightarrow \frac{{22}}{7} \times {r^2} = 301.84{/tex}
{tex} \Rightarrow {r^2} = \frac{{301.84 \times 7}}{{22}}{/tex}
{tex} \Rightarrow {r^2} = \frac{{301.84 \times 7}}{{22}}{/tex}
{tex}\Rightarrow {r^2} = \frac{{1372 \times 7}}{{100}}{/tex}
{tex} \Rightarrow r = \sqrt {\frac{{9604}}{{100}}} = \frac{{98}}{{10}} = 9.8cm{/tex}
{tex}\therefore {/tex} circumference of circle = {tex} 2\pi r{/tex}
{tex} = 2 \times \frac{{22}}{7} \times 9.8{/tex}
= 61.6 cm

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