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# The circumference of a circle is 31.4 cm. Find the radius and the area of the circle?

Q. 12.     The circumference of a circle is $31.4\; cm$. Find the radius and the area of the circle? (Take $\pi =3.14$)

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It is given that circumference of circle is $31.4 \ cm$

Now, we know that

Circumference of circle is = $2 \pi r$

$\Rightarrow 31.4 = 2 \pi r$

$\Rightarrow 31.4 = 2 \times 3.14 \times r$

$\Rightarrow r = 5 \ cm$

Now, Area of circle (A) = $\pi r^2$

$\Rightarrow \pi r^2= 3.14 \times(5)^2= 78.5 \ cm^2$

Therefore, radius and  area of the circle  are $5 \ cm \ and \ 78.5 \ cm^2$  respectively

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