Question

Area of circle is 2464cm find the diameter of circle

Answer 1

As per given information ,

Area of circle is 2464 ${cm}^{2}$

We have to find out the Diameter of circle.

As we know that,

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

Put the given values in the formula we get

$2464 = \pi {r}^{2}$

$\frac{2464}{\pi} = {r}^{2}$

The value of π is 3.14 .

$\frac{2464}{3.14} = {r}^{2}$

${r}^{2} = 784.71$

When square shift from one side to other it becomes square root.

So, r = $\sqrt{784.71}$

Square root of 784.71 is 28.01

Therefore,

r = $28.01$

R is a radius of circle which is 28.01 cm.

We know that,

The Diameter is twice the radius.

Diameter = $2 \times radius$

Diameter = $2 \times 28.01$

Diameter = $56.02$

Hence,

The Diameter of circle is 56.02 cm.