Question

The distance around a circular park is 88 yards.
What is the area of the park? Use 3.14 for π.

Answer 1

616.25
`yd^2`

Explanation:

The equation for the area of a circle is

`A=\pi r^2`

Since the problem does not give a value for r, it must be derived. Recall that the equation for the circumference of a circle is

`C=2\pi r`

Using the given value of the circumference,

`C=88yd=2\pi r`

So,

`88yd=2\pi r\\(88yd)/(2\pi)=r\\14.01yd=r`

Insert the derived value of r into the formula for area:

`A=\pi r^2\\A=\pi(14.01yd)^2\\A=616.25yd^2`