Question

find the radius of a circle whose circumference is 32.7 units. use your calculator’s value of π. round your answer to the nearest tenth. radius = units

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: Isolate radius $r$

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

Step3: Substitute $C=32.7$

Substitute the given circumference value into the formula:
$r = \frac{32.7}{2\pi}$

Step4: Calculate and round

Use a calculator to compute the value:
$r \approx \frac{32.7}{6.28319} \approx 5.2$

Answer:

5.2 units