Question

The circumference of a circle is 127.What is the diameter? d =What is the radius? r =

Answer 1

Given, the circumference of the circle, C=12π.

The circumference of a circle can be expressed as,

$C=2\pi\text{ r}$

Here, r is the radius of the circle.

Put C=12π in the above equation to find radius r.

$\begin{gathered} 12\pi=2\pi r \\ r=\frac{12\pi}{2\pi} \\ =6 \end{gathered}$

The diameter of the circle is,

$\begin{gathered} D=2r \\ =2\times6=12 \end{gathered}$

Therefore, the radius of the circle is 6 and the diameter of the circle is 12.