We know that formula for circumference is 2πr
Since we have circumference of 2π, that would means 2π = 2πr.
We need to solve for r. We can divide both sides by 2π:
2π / 2π = 2πr / 2π
1 = r
So radius is 1.
Now the formula for area of circle is πr². So plug in r=1 and that would be
π(1)²
π
So area of circle is π.
Hope this helps.
