Answer : The approximation of the circle's area is [tex]30000m^2[/tex]
Step-by-step explanation :
As we know that:
Circumference of circle = [tex]2\pi r[/tex]
Area of circle = [tex]\pi r^2[/tex]
Given:
Circumference of circle = 600 m
First we have to calculate the radius of circle.
[tex]2\pi r=600m[/tex]
[tex]r=\frac{600m}{2\pi}[/tex]
[tex]r=(\frac{300}{\pi})m[/tex]
Now we have to determine the area of circle.
Area of circle = [tex]\pi r^2[/tex]
Now put the value of 'r' in this formula, we get the area of circle.
Area of circle = [tex]\pi \times (\frac{300}{\pi}m)^2[/tex]
The value of [tex]\pi=3.14[/tex]
So,
Area of circle = [tex]3.14 \times (\frac{300}{3.14}m)^2[/tex]
Area of circle = [tex]28662.4m^2\approx 30000m^2[/tex]
Therefore, the approximation of the circle's area is [tex]30000m^2[/tex]
