Question

Can you find the area of a circle if you only know its circumference? explain.

Answer 1

Answer:

Yes.  If you know the circumference, you can solve for the value of the radius and use this value to solve for area:

C = 2πr

A = πr²

Step-by-step explanation:

The formulas for circumference and area both require the use of the measure of the radius of the circle.  If you have the value of the circumference, you can solve for the measure of the radius and use this value to find the area.  For example, if the circumference is 80 inches:

80 = 2πr or 40 = πr so r = 40/3.14 ≈ 12.74

A = πr² = (3.14)(12.74)² ≈ 509.65 in²