Question

If the perimeter and the area of the circle are numerically equal, then the radius of the circle is​

Answer 1

Given,

Perimeter of circle = Area of circle

$2\pi \: r \: = \pi \: r \times r \\ 2\pi \: r \div \pi \: r = r \\ 2 = r$

If r = 2units Then the Perimeter & Area of the circle would be same

Hence,Radius = 2

Answer 2

$\huge\fcolorbox{blue}{pink}{Answer = 2}$

$\bf\huge\underline{Explaination:-}$

We have numerical area of the circle

= Numerical circumference of the circle

=> πr² = 2πr

=> πr² - 2πr = 0

=> r² - 2r = 0

=> r(r - 2) = 0

=> r = 0 or r = 2

But r cannot be zero

.°. r = 2

Thus, the radius of circle is 2 units.