Question

The formula to calculate the area of a circle from its circumference is: A =c2/4π

Answer 1

Answer:

(if its a true or false question) True

Step-by-step explanation:

We know-

Area of a circle =

A=(π)r2

Circumference of a circle =

C=2(π)r

Where pi is a constant and r is the radius of the circle.

Using these two formulas we can express A in terms of C as follows:

c2=[2(π)r]2

⇒ c2=4[(π)2]r2 ⇒ c2=4(π)[(π)r2]

As (π)r2=A ⇒c2=4(π)A

Therefore:

A=c2/4(π)