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The simple answer is that pi is the ratio of the circumference divided by the diameter of any circle. This is universally true because any circe, big or small, has the same ratio. Therefore, the circumference is equal to pi times the diameter, or pi times two times the radius.

The long answer involves arc length integrals over the equation for a circle, y=sqrt(r^2-x^2)

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Q: Where do we get the formula for circumference 2 times pi times r?
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How do you find circumference?

The formula is 2 times radius times pi or the diameter times pi. Circumference is 2r times pi. Assuming you are referring to a circle.


Why is circumference equal to 2 times Pi times r?

circumference=pi circumference=pi circumference=pi


What is the formula for finding the circumference of a circle?

The formula for the circumference of a circle is 2πr, or πd.C = pi x d (pi x diameter)or:C = 2 x pi x r (2 times pi times radius)(Pi or π is approximately 3.1416)


What is the formula for the area of acircumferenceof a circle is?

area: (pi) times radius2 circumference: (pi) times diameter OR 2 times (pi) times radius :)


How do you find the area of a circle using circumference?

Circumference = 2*radius Area = 2*pi*radius2 Area = 2*pi*(circumference/2)2


What is the formula for the circumference of a circle with the radius of 4?

circumference=2 times (pi) times r: where r is the radiusC=2pir


What is the formula for the circumference of a circle in pi?

Circumference of a circle = 2*pi*radius or pi*diameter


If the diameter is 25.6 what is the circumference?

divide the diameter of 25.6 by 2 to find the radius. The radius is 12.8. The formula to find the circumference is radius squared times pi. 12.8 squared is 163.84 and multiplied by pi is 514.7.. So Circumference = 514.7 The above computation gives the AREA of the circle, not the CIRCUMFERENCE. The CIRCUMFERENCE is 2 times the radius times pi, or the diameter times pi.


How can kids remember the formula for circle area and the formula for circle circumference?

Any formula involving a circle will have "pi" in it. Area = pi* radius * radius Circumference = pi * diameter = pi * radius * 2 ( the diameter is just 2 times the radius) Quick way: A = pi r squared C = pi D


What is the formula for finding the radius of a circle when you have the circumference?

Divide the circumference by 2*pi because 2*pi*radius = circumference


What is the formula for the circumference of the cirle?

circumference of a circle = 2*pi*radius or pi*diameter


How do you find the circumference if known the radius?

The formula for circumference is pi times diameter. Since a radius is always half the diameter, you just multiply it by 2 and then by pi.