Final answer:
The circumference of the circle whose area is 100% is 2√π.
Step-by-step explanation:
The formula to find the circumference of a circle is C = 2πr, where r is the radius of the circle.
Since the area of the circle is 100%, we have A = 100% = 1.
Using the formula A = πr², we can solve for r:
1 = πr²
r² = 1/π
r = √(1/π)
Now we can substitute the value of r into the circumference formula:
C = 2π(√(1/π))
C = 2√π
Therefore, the circumference of the circle whose area is 100% is 2√π.