Question

1. The area of a circle is 24564cm2 . Find the diameter of the circle.​

Answer 1

Answer:

176.85

Step-by-step explanation:

circumfernce=2$\pi r$=24564

Using the formulas

A=πr^2

d=2r

Solving for d

d=$2\sqrt{\frac{A}{\pi } } =2.\sqrt{\frac{24564}{\pi } }$

π≈176.84981cm

Answer 2

As per given information ,

Area of circle is 24564 ${cm}^{2}$

We have to find out the Diameter of 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

$24564 = \pi {r}^{2}$

$\frac{24564}{\pi} = {r}^{2}$

The value of π is 3.14 .

$\frac{24564}{3.14} = {r}^{2}$

${r}^{2} = 7822.92$

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

$r = \sqrt{7822.92}$

The square root of 7822.92 is 88.44 .

r = $88.44$

Radius = r = 88.44 cm

Diameter is twice of radius.

Diameter = $2 \times radius$

Diameter = $2 \times 88.44 = 176.88$

Hence,

The Diameter of circle is 176.88 cm