Question

a circle has a circumference of 7,850 units. what is the radius of the circle? use 3.14 for π and enter your answer as a decimal. units

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 need to solve for \( r \), so we can rearrange the formula to \( r=\frac{C}{2\pi} \).

Step2: Substitute the given values into the formula.

We know that \( C = 7850 \) units and \( \pi = 3.14 \). Substituting these values into the formula for \( r \), we get \( r=\frac{7850}{2\times3.14} \).

Step3: Perform the calculations.

First, calculate the denominator: \( 2\times3.14 = 6.28 \). Then, divide the circumference by this value: \( r=\frac{7850}{6.28} = 1250 \).

Answer:

1250