How would I set this type of problem up?

Question

A circular track is 100 meters long. Approximately how long is the diameter of the circle formed by the track?

Answer 1

Use the circumference of a circle to find the diameter, d.

C = πd (Formula for the circumference of a circle)

πd = 100 (Substitute 100 for C)

d = (100/π) ≈ 31.85 meters (Divide by π on both sides)

Answer 2

Hi Moni!

To solve this problem, we can use the following formula for circumference of a circle: C=πd, where C is the circumference or distance around the circle, π is the constant about equal to 3.14, and d is the diameter of the circle.

Since the track is 100 meters long, that is its circumference: C=100. After we plug in the values of C and π, we get 100=3.14d. Divide both sides of this equation by 3.14 to get d=100/3.14=31.8. So the diameter of the track is about 31.8 meters. I hope this helps!