Find the radius of a circle so that it's area and
circumference have the same value.
we want
2πr = πr^2
r = 2
To find the radius of a circle where the area and circumference have the same value, we need to equate the formulas for area and circumference and then solve for the radius.
The formula for the area of a circle is given by:
A = π * r^2
Where A is the area and r is the radius.
The formula for the circumference of a circle is given by:
C = 2 * π * r
Where C is the circumference and r is the radius.
We can set these two equations equal to each other:
2 * π * r = π * r^2
Next, we can simplify the equation by dividing both sides by π:
2r = r^2
Divide both sides of the equation by r:
2 = r
Therefore, the radius of the circle is 2 units.