Question

question
the diameter of a circle is 10 ft. find the circumference to the nearest tenth.

Explanation:

Step1: Recall the formula for the circumference of a circle

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

Step2: Substitute the given diameter into the formula

We are given that the diameter \( d = 10\) ft. Substituting this into the formula, we get \( C=\pi\times10 = 10\pi \).

Step3: Calculate the numerical value and round to the nearest tenth

Using the approximation \( \pi\approx3.14159 \), we have \( 10\pi\approx10\times3.14159 = 31.4159 \). Rounding this to the nearest tenth gives \( 31.4 \).

Answer:

The circumference of the circle is \( 31.4 \) feet.