Question

if the circumference of a circle and it's area are equal in magnitude then radius of circle is

Answer 1

Hi there!

Your Answer :-

Formula For Circumference = 2πr

Formula For Area = πr²

If, these are equal then,

$\sf\red{2\pi r \: = \pi {r}^{2} }$

π will get Canceled.

$\sf\blue{2r = {r}^{2} }$

We can write it as :-

$\sf\green{r \times r = 2 \times r}$

R will also get Canceled.

$\sf\pink{r = 2}$

So, we get Radius as 2.

Answer 2

Answer:

Radius = 2 units

Step-by-step explanation:

Let radius = r

Circumference of circle = 2πr

Area of circle = πr²

If circumference = area

2πr = πr^2

2r = r^2

r = 2

Therefore, if a circle's area and circumference are equal in magnitude, its radius is 2 units