Question

A circle’s circumference is 600m what is a good approximation of the circle’s area

Answer 1

well first you take and find the radius which in this case would be 300m.
then you multiply 300m × 300m you get 900,000m
the you multiply that but pi which is 3.14
so 900,000 × 3.14 equals 282,600m That's your area

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 $30000m^2$