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What is the radius of a circle whose circumference is 36pi?

What Is The Radius Of A Circle Whose Circumference Is 36pi class=

Sagot :

The circumference of a circle of radius r is given by:

[tex]C=2\pi r[/tex]

For this question we simply need to take C=36π and solve for r:

[tex]36\pi=2\pi r[/tex]

If we divide both sides by 2π we get:

[tex]\begin{gathered} 36\pi=2\pi r \\ \frac{36\pi}{2\pi}=\frac{2\pi r}{2\pi}=\frac{2\pi}{2\pi}\cdot r \\ 18=r \end{gathered}[/tex]

Then the answer is option A, 18.