Question

A community track is in the shape of a circle.

You have a fitness tracker that tells you the
track is 650 yards long. What is the
approximate area inside of the track?

Answer 1

If the track is in the shape of a circle, then we can use the formula for the area of a circle to calculate the approximate area inside the track.

The formula for the area of a circle is:

A = πr^2

where A is the area and r is the radius of the circle.

To find the radius of the circle, we can use the formula for the circumference of a circle:

C = 2πr

where C is the circumference of the circle.

We know that the circumference of the circle is 650 yards. So we can solve for the radius by rearranging the formula:

r = C/(2π) = 650/(2π) ≈ 103.4 yards

Now we can use the formula for the area of a circle to find the approximate area inside the track:

A = πr^2 ≈ 3.14 × (103.4)^2 ≈ 33,608 square yards

Therefore, the approximate area inside the track is about 33,608 square yards.

Explanation: