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

The circumference of a circle is 10pi meters. What is the radius?-example-1
User Ed Rushton
by
7.6k points

1 Answer

3 votes

5 meters

Step-by-step 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 \\ (C)/(2\pi)=\frac{2\pi\text{ radius}}{2\pi} \\ (C)/(2\pi)=\text{radius} \end{gathered}

Step 2

Let


c=10\pi

so


\begin{gathered} (C)/(2\pi)=\text{radius} \\ (10\pi)/(2\pi)=\text{radius} \\ 5=\text{radius} \end{gathered}

Hence, the radius us 5 meters

i hope this helps you

User Swarmp
by
8.7k points
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