Question

A circle's circumference is 600 m. What is a good approximation of the circle's area

Answer 1

A≈28647.89m²

Circumference 600m

Using the formulas

A=πr2

C=2πr

Solving for A

A=C2

4π=6002

4·π≈28647.88976m²

Answer 2

Answer : The approximation of the circle's area is
`30000m^2`

Step-by-step explanation :

As we know that:

Circumference of circle =
`2\pi r`

Area of circle =
`\pi r^2`

Given:

Circumference of circle = 600 m

First we have to calculate the radius of circle.

`2\pi r=600m`

`r=(600m)/(2\pi)`

`r=((300)/(\pi))m`

Now we have to determine the area of circle.

Area of circle =
`\pi r^2`

Now put the value of 'r' in this formula, we get the area of circle.

Area of circle =
`\pi * ((300)/(\pi)m)^2`

The value of
`\pi=3.14`

So,

Area of circle =
`3.14 * ((300)/(3.14)m)^2`

Area of circle =
`28662.4m^2\approx 30000m^2`

Therefore, the approximation of the circle's area is
`30000m^2`