Question

4.4 circumference and area of a circle
find the radius for the circle when the circumference equals 314 inches.
r = inches

Explanation:

Step1: Recall the circumference formula

The formula for the circumference of a circle is $C = 2\pi r$, where $C$ is the circumference and $r$ is the radius.

Step2: Solve for the radius

Given $C = 314$ inches and $\pi\approx3.14$. We can rewrite the formula as $r=\frac{C}{2\pi}$. Substitute $C = 314$ and $\pi = 3.14$ into the formula: $r=\frac{314}{2\times3.14}$.

Step3: Calculate the value of $r$

First, calculate $2\times3.14 = 6.28$. Then, $\frac{314}{6.28}=50$.

Answer:

50