Question

The circumference of a circle is 10pi meters. What is the radius?

Answer 1

5 meters

Explanation

the circumference is given by:

$\begin{gathered} C=2\cdot\pi\cdot\text{ radius} \\ \end{gathered}$

Step 1

isolate the radius

$\begin{gathered} C=2\cdot\pi\cdot\text{ radius} \\ \text{divide both sides by 2 }\pi \\ \frac{C}{2\pi}=\frac{2\pi\text{ radius}}{2\pi} \\ \frac{C}{2\pi}=\text{radius} \end{gathered}$

Step 2

Let

$c=10\pi$

so

$\begin{gathered} \frac{C}{2\pi}=\text{radius} \\ \frac{10\pi}{2\pi}=\text{radius} \\ 5=\text{radius} \end{gathered}$

Hence, the radius us 5 meters

i hope this helps you