If The Area Of A Circle Is 38.5m 2, Then Its Circumference Will Be _____?

If the area of a circle is 38.5m 2, then its circumference will be _____?

22 m
2.2 m
38.5 m
35 m

Explanation

Area of a circle $= π r^{2}$
$∴ 38.5 = π r^{2}$
$∴ \frac{2 2}{7} \times r^{2} = 38.5$
$\Rightarrow r^{2} = 38.5 \times \frac{7}{2 2}$
$\Rightarrow r^{2} = 12.25 \Rightarrow r = 12.25$
$∴$ $r = 3.5$
Now, Circumference of circle $= 2 π r$
$∴$ Circumference of circle $= 2 \times \frac{2 2}{7} \times \frac{3 5}{1 0}$
$∴$ Circumference of circle $= 22 m$ Area of a circle $= π r$

$^{2}$
$∴ 38.5 = π r^{2}$
$∴ \frac{2 2}{7} \times r^{2} = 38.5$
$\Rightarrow r^{2} = 38.5 \times \frac{7}{2 2}$
$\Rightarrow r^{2} = 12.25 \Rightarrow r = 12.25$
$∴$ $r = 3.5$
Now, Circumference of circle $= 2 π r$
$∴$ Circumference of circle $= 2 \times \frac{2 2}{7} \times \frac{3 5}{1 0}$
$∴$ Circumference of circle $= 22 m$

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Explanation

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If the area of a circle is 38.5m 2, then its circumference will be _____?

Explanation

Area of a circle =πr2∴38.5=πr2∴722​×r2=38.5⇒r2=38.5×227​⇒r2=12.25⇒r=12.25​∴ r=3.5Now, Circumference of circle =2πr∴ Circumference of circle =2×722​×1035​∴ Circumference of circle =22mArea of a circle =πr

2∴38.5=πr2∴722​×r2=38.5⇒r2=38.5×227​⇒r2=12.25⇒r=12.25​∴ r=3.5Now, Circumference of circle =2πr∴ Circumference of circle =2×722​×1035​∴ Circumference of circle =22m

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