Question

the ratio of circumference to the area of a circle of radius R unit is

Answer 1

Hey user

Here is your answer :-

The ratio of circumference to the area of circle .

area of circle = πr²

Circumference of circle = 2πr

$ratio = \frac{2\pi \: r}{\pi {r}^{2} } \\ \\ = \frac{2r}{ {r}^{2} } \\ \\ \frac{2}{r}$

So the ratio is 2 : r.

Answer 2

Circumference of circle = 2pi R
Area of Circle = pi R^2

Ratio = Circumference of Circle/Area of Circle

=> Ratio = 2pi R/ pi R^2

=> Ratio = 2/R

Hence,

Ratio = 2:R

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