Question

if the perimeter and the area of a circle are numerically equal then the radius of the circle is 2

Answer 1

Given:

the circumference and area of the circle are equal

So :

2*π*r=π*r*r

Cancelling π*r both sides we get:

r=2

So the radius must be 2.

Lets verify:

r=2

C=2*πr=4π

A=π*r*r=2*2*π=4π

Hence they are equal

Hope it helps

Answer 2

Hey there!

Answer:

$\boxed{\boxed{r=2}}$

Step-by-step explanation:

Perimeter of circle  = 2πr

Area of circle  = πr²

According to the Question,

Perimeter of circle = Area of circle

2πr = πr²

or, 2πr / πr = r

or, 2 = r

or, r = 2

Hence the radius is 2.

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