Question

question 3 of 5
a group of students formed a circle during a game. the circumference of the circle was about 50.24 feet, and the diameter of the circle was 16 feet.
which expression best represents the value of π?
a. 16/50.24
b. 50.24/8
c. 50.24/16
d. 8/50.24

Explanation:

Step1: Recall the formula for the circumference of a circle

The formula for the circumference \(C\) of a circle is \(C=\pi d\), where \(d\) is the diameter.

Step2: Solve the formula for \(\pi\)

From \(C = \pi d\), we can isolate \(\pi\) by dividing both sides of the equation by \(d\). So \(\pi=\frac{C}{d}\).

Step3: Substitute the given values

Given \(C = 50.24\) feet and \(d = 16\) feet. Substituting into the formula \(\pi=\frac{C}{d}\), we get \(\pi=\frac{50.24}{16}\).

Answer:

C. \(\frac{50.24}{16}\)