Question

1. the circumference of a circle is approximately 50.27 inches. determine the length of the radius of the circle in inches. round your answer to the nearest whole number.

Explanation:

Step1: Recall the formula for the circumference of a circle

The formula for the circumference \( C \) of a circle is \( C = 2\pi r \), where \( r \) is the radius and \( \pi \approx 3.1416 \). We need to solve for \( r \), so we can rearrange the formula to \( r=\frac{C}{2\pi} \).

Step2: Substitute the given circumference into the formula

We know that \( C = 50.27 \) inches. Substituting this into the formula for \( r \), we get \( r=\frac{50.27}{2\times3.1416} \).
First, calculate the denominator: \( 2\times3.1416 = 6.2832 \).
Then, divide 50.27 by 6.2832: \( r=\frac{50.27}{6.2832}\approx8.0 \) (when rounded to the nearest whole number).

Answer:

The length of the radius is approximately 8 inches.