Question

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

Answer 1

Given,

The circumference of a circle and it's area are equal in magnitude.

To find,

The radius of the circle.

Solution,

Let,the radius of the circle = r unit

[Assume, r as a variable to do the further mathematical calculations.]

Now,the circumference of the circle = 2πr unit

The area  of the circle = πr² unit²

According to the data mentioned in the question,

2πr = πr²

πr² = 2πr

r = 2

Hence,the radius of the circle is 2 unit.

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