Question

a circle has a circumference of 50.24 units. what is the radius of the circle? use 3.14 for π and enter your answer as a decimal.

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. We know \( C = 50.24 \) and \( \pi = 3.14 \), so we can solve for \( r \).

Step2: Substitute the known values into the formula.

Substitute \( C = 50.24 \) and \( \pi = 3.14 \) into \( C = 2\pi r \):
\( 50.24 = 2 \times 3.14 \times r \)
First, calculate \( 2 \times 3.14 = 6.28 \), so the equation becomes \( 50.24 = 6.28r \).

Step3: Solve for \( r \).

To find \( r \), divide both sides of the equation by \( 6.28 \):
\( r=\frac{50.24}{6.28} \)
\( r = 8 \)

Answer:

8