Find the following ratio.The ratio of circumference of circle with rad

1.	Find the following ratio.The ratio of circumference of circle with radius r to its area.
Answer» Let the radius of the circle is r. ∴ circumference = 2\(\pi\)r and area = \(\pi\)\(r^{2}\) Ratio of circumference to the area of circle = \(\frac{circumference}{area}\) = \(\frac{2\pi{r}}{\pi{r^2}}\) = \(\frac{2}{r}\) = 2 : r ∴ The ratio of circumference of circle with radius r to its area is 2 : r.

Find the following ratio.The ratio of circumference of circle with radius r to its area.

Answer»

Let the radius of the circle is r.

∴ circumference = 2\(\pi\)r and area = \(\pi\)\(r^{2}\)

Ratio of circumference to the area of circle

= \(\frac{circumference}{area}\)

= \(\frac{2\pi{r}}{\pi{r^2}}\)

= \(\frac{2}{r}\)

= 2 : r

∴ The ratio of circumference of circle with radius r to its area is 2 : r.