Question

find the radius for the circle when the circumference equals 314 inches. r = square inches

Explanation:

Step1: Recall circumference formula

The circumference \( C \) of a circle is \( C = 2\pi r \), where \( r \) is the radius. We use \( \pi \approx 3.14 \).

Step2: Isolate radius \( r \)

Rearrange the formula to solve for \( r \):
\( r = \frac{C}{2\pi} \)

Step3: Substitute \( C = 314 \) inches

Substitute the given circumference value:
\( r = \frac{314}{2 \times 3.14} \)

Step4: Calculate the value

First compute \( 2 \times 3.14 = 6.28 \), then divide:
\( r = \frac{314}{6.28} = 50 \)

Answer:

50 inches