Question

the circumference of a circle is 270.04 inches. what is the circles diameter? round your answer to the nearest hundredth. inches submit

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 and \( \pi\approx3.14159 \). 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 \( C = 270.04 \) inches. Substituting this into the formula for \( d \), we get \( d=\frac{270.04}{\pi} \).

Step3: Calculate the value of \( d \)

Using a calculator, we divide 270.04 by \( \pi \) (approximately 3.14159). So \( d\approx\frac{270.04}{3.14159}\approx85.95 \) (rounded to the nearest hundredth).

Answer:

85.95