The formula C = 2 x Pi x r is used to calculate the circumference of a circle when given the radius. What is the formula for calculating the radius when given the circumference?

C/2Pi = R***
C/2R = Pi
2 x Pi x C = R
2 x Pi/ C = R

C = 2 x pi x r

Right.

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Yes, it is an essential formula in geometry and many other fields that deal with circles. It allows you to calculate the circumference of a circle if you know the radius, or to calculate the radius if you know the circumference.

Why did the mathematician break up with his circle? Because she couldn't figure out the circumference of his heart! Anyway, to answer your question, the formula for calculating the radius (R) when given the circumference (C) is R = C / (2 x Pi). So grab your calculator and get dividing!

The correct formula for calculating the radius when given the circumference of a circle is:

R = C / (2 x Pi)

To understand how this formula is derived, you need to know that the circumference of a circle is the total distance around the outside of the circle. It is represented by the variable C. The radius of a circle is the distance from the center of the circle to any point on its edge. It is represented by the variable R. And Pi (π) is a mathematical constant, approximately equal to 3.14159.

The formula for the circumference of a circle is C = 2 x Pi x R. To solve for the radius, you need to isolate R on one side of the equation.

Step 1: Divide both sides of the equation by 2:
C / 2 = Pi x R

Step 2: Divide both sides of the equation by Pi:
C / (2 x Pi) = R

Therefore, the formula to calculate the radius when given the circumference is R = C / (2 x Pi).

Its so very important