Question

The ratio of the circumference of a circle to its diameter is denoted by the symbol ______.

Answer 1

Let the radius of the circle is $\mathrm{r}$

So, Diameter $=2\mathrm{r}$

We know that

Circumference of the circle $=2\mathrm{\pi r}$

$=\mathrm{\pi }\times \left(2\mathrm{r}\right)$

$=\mathrm{\pi }\times$diameter

Now, ratio of circumference to diameter is

$\Rightarrow \frac{\mathrm{Circumference}}{\mathrm{diameter}}=\mathrm{\pi }$

Hence the ratio of the circumference of a circle to its diameter is denoted by the symbol $\mathrm{\pi }$