Question

david wants to measure the diameter of his circular pool, but he does not have a tape measure long enough to reach across the pool. he measures around the pool edge and finds that it has a circumference of approximately 96 feet. find the diameter.
the pool’s diameter is
(round to the nearest whole number as needed)

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. We need to solve for \( d \), so we can rearrange the formula to \( d=\frac{C}{\pi} \).

Step2: Substitute the given circumference into the formula.

We know that the circumference \( C = 96 \) feet. Using \( \pi\approx3.14 \), we substitute into the formula: \( d=\frac{96}{3.14} \).

Step3: Calculate the value of \( d \).

\( \frac{96}{3.14}\approx30.57 \). Rounding to the nearest whole number, we get \( d\approx31 \).

Answer:

31