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.

problems 4–5: the minute hand of a circular clock

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 of the circle. 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 are given that \( C = 50.27 \) inches. Substituting this value into the formula for \( r \), we get \( r=\frac{50.27}{2\pi} \).

Step3: Calculate the value of \( r \)

Using the approximation \( \pi\approx3.1416 \), we have \( 2\pi\approx 6.2832 \). Then \( r=\frac{50.27}{6.2832}\approx 8.0 \) (rounded to the nearest whole number).

Answer:

8