Question

tick the correct answer in the following and justify your choice: if the perimeter and the area of a circle are numerical ly equal, then the radius of the circle is

Answer 1

Let the radius is r unit
So , as question,
2πr=πr^2
or, 2r=r^2(by eliminating 2 from both sides)
or, r=2(by eliminating r from both sides)
Ans. the radius is 2 unit

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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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