Question

What is the best approximation for the area of a circle with a diameter of 13 meters?

Answer 1

We know that the area of a circle is represented by the equation:

$A=\pi r^{2}$

And we know that the diameter of a circle is twice the radius: $d=2r$

So if we know that the diameter is 13m, we can solve for the radius:

$13m=2r$ --> $r=6.5m$

Then we can plug in this radius into the equation for the area of a circle, using 3.14 to approximate the value of pi:

$A=(3.14)(6.5)^{2}$

$A=(3.14)(42.25)$

$A=132.665m^{2}$

So now we know that the area of the circle is 132.665 square meters.