Question

The area of a circle is 616cm² .find it's radius?

Answer 1

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Area of circle = ${πr}^{2}$

So,

${616cm}^{2}$ = $\frac{22}{7}$ × ${r}^{2}$

$\frac{616×7}{22}$ = ${r}^{2}$

$\frac{4312}{22}$ = ${r}^{2}$

196 = ${r}^{2}$

r = 14cm

Answer 2

Answer:

Radius of circle is 14 cm .

Step-by-step explanation:

As per given information ,

Area of circle is 616 ${cm}^{2}$

We have to find out the Radius of circle.

The area of circle is the region occupied by the circle.

As we know that,

Area of circle $= \pi {r}^{2}$

Where,

r is a radius of circle.

Put the given values in the formula we get

$616 = \pi {r}^{2}$

$\frac{616}{\pi} = {r}^{2}$

The value of π is 3.14 .

$\frac{616}{3.14} = {r}^{2}$

${r}^{2} =196$

When square is shift from left to right side it becomes square root.

$r = \sqrt{196}$

The square root of 196 is 14 .

r = 14

Hence,

Radius of circle is 14 cm .