How to find the area of a circle with circumference?

The circumference of a circle is calculated with the formula (C) = 2πr and the area of a circle is calculated with the formula (A) = πr², where 'r' denotes the radius of the circle.

Answer: The area of a circle with circumference is calculated with the formula: Area = C²/4π where 'C' is the circumference of the circle and 'π' is the constant with a value of 22/7 or 3.14

Let us see how we arrive at this equation.

Explanation:

C = 2πr 

⇒ C² = 4π²r²

⇒ C² = πr² × 4π = 4π × (A)

⇒ Area of the circle (A) = C²/4π

Hence, the area of a circle with circumference 'C' is C²/4π