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.

$2\pi r=600m$

$r=\frac{600m}{2\pi}$

$r=(\frac{300}{\pi})m$

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 = $\pi \times (\frac{300}{\pi}m)^2$

The value of $\pi=3.14$

So,

Area of circle = $3.14 \times (\frac{300}{3.14}m)^2$

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

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