Question

Find the radius of a circle so that its area and circumference have the same value

Answer 1

`2 \pi r= \pi r^2`


`2r= r^2`


`r^2 - 2r= 0`


`r(r - 2) = 0`


`r = 0 \text { (rejected )} \ or \ r = 2`

Answer: radius = 2 units