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Yes it is.

Linear simply means that the degree (or number of powers) of the variable is 1.

In this case the variable is the radius "r" and it occurs to the first power ... so the

equation

C=2 times pi times r

is linear in r.

Ralph the triangle

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Q: Is the equation 2 pi r the circumference of a circle linear?
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Related questions

What is something with a perfect linear relationship?

A linear relationship is given by the equation y=ax+b Anything which can be modelled by this equation is a linear relationship. For example, the circumference of a circle is pi times d. This can be modelled by y=ax+b where y is the circumference, a is pi, x is the diameter and b is 0. Therefore, the circumference of a circle as the diameter changes is a perfect linear relationship.


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If the circumference of a circle is 16 linear units times pi, then its diameter 16 linear units.


If you Give a circle with a diameter of 4 what is the circumference?

the equation for the circumference of a circle is 2*radius*pi, or since the radius is half of the diameter 2*radius=diameter, we can simplify the equation to the circumference of a circle=diameter*pi


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What does pi have to do with the area and circumference of a circle?

It is used in finding the circumference and area of a circle. Circumference = 2*pi*radius or pi*diameter measured in linear units Area = pi*radius2 measured in square units


What is the standard equation of the circle?

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C = 2 * pi * rC is the circumference of the circle;pi is approximately 3.1416;r is the radius of the circle;2r is the diameter, so C = d * pi as well.


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