Circle O has a circumference of 36π cm. What is the length of the radius, r?
2 answers:
Answer:
The length of the radius, r is 18 cm.
Step-by-step explanation:
If the radius of a circle is r, then the circumference of the circle is
![C=2\pi r](https://tex.z-dn.net/?f=C%3D2%5Cpi%20r)
It is given that circle O has a circumference of 36π cm.
![36\pi=2\pi r](https://tex.z-dn.net/?f=36%5Cpi%3D2%5Cpi%20r)
Divide both sides by 2π.
![\frac{36\pi}{2\pi}=\frac{2\pi r}{2\pi}](https://tex.z-dn.net/?f=%5Cfrac%7B36%5Cpi%7D%7B2%5Cpi%7D%3D%5Cfrac%7B2%5Cpi%20r%7D%7B2%5Cpi%7D)
![18=r](https://tex.z-dn.net/?f=18%3Dr)
Therefore the length of the radius of the circle is 18 cm.
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