Question

the circumference of a circle is 62.8 yards. what is the circles radius?
c = 62.8 yd
round your answer to the nearest hundredth.
_______ yards

Explanation:

Step1: Recall circumference formula

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

Step2: Rearrange to solve for $r$

Isolate $r$ by dividing both sides by $2\pi$:
$r = \frac{C}{2\pi}$

Step3: Substitute $C=62.8$

Substitute the given circumference value:
$r = \frac{62.8}{2\pi}$

Step4: Calculate and round

Use $\pi \approx 3.1416$:
$r = \frac{62.8}{2\times3.1416} = \frac{62.8}{6.2832} \approx 9.99$

Answer:

9.99 yards