Question

if the area of a circle and the perimeter of a circle is numerically equal then radius of the circle is ​

Answer 1

Answer:

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Step-by-step explanation:

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Here's the answer you are looking for

The perimeter of a circle is 2πr where r is the radius of the circle.

And it's area is πr²

If area = perimeter

Then,

2πr = πr²

2 = πr² / πr = r

Therefore, if r is 2units then the area and perimeter of the circle would be numerically equal.

Answer 2

Let the radius of the circle be r .

Area of circle = πr²

Perimeter or circumference = 2πr

Given that area and perimeter are numerically equal , so equating them we get :

πr² = 2πr

r² = 2r      { π gets cancelled }

r = 2 cm  {r gets cancelled }