Question

the circumference of a circle is 100.48 kilometers. what is the circles radius?

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 \( \pi \) is approximately \( 3.14 \). 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 \( C = 100.48 \) kilometers and \( \pi\approx3.14 \). Substituting these values into the formula for \( r \), we get \( r=\frac{100.48}{2\times3.14} \).

Step3: Perform the calculations

First, calculate the denominator: \( 2\times3.14 = 6.28 \). Then, divide the numerator by the denominator: \( r=\frac{100.48}{6.28}=16 \).

Answer:

The radius of the circle is 16 kilometers.