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Q: Is the relationship between the radius of a circle and its circumference linear?
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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.


What is the relationship between diameter and circumference?

The distance across a circle through the center is called the diameter. The distance around a circle is called the circumference. Pi is the ratio of the circumference of a circle to the diameter. So,2 radius x Pi = circumferencePi is approximately 3.14159265358979323846...


How do you rigorously prove that the circumference of a circle can be measured in linear units?

The circumference of a circle is its boundary - it is a perimeter and therefore is a linear measure. Whether it is a smooth curve, as in the case of a circle, or a set of line segments meeting at vertices is irrelevant to its being linear.


Circumference is 16 times pi what is the diameter?

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


Is circumference measured in cm?

Circumference can be measured in any linear measurement. It could be centimeters, meters, miles, inches etc. generally the circumference is the linear distance around a circle. When you have a perfect circle, it's fairly easy to calculate if you know the distance across the circle.


What is the circumference of a circle with a perimeter of 196 linear feet?

196 feet of course. For a circle "perimeter" and "circumference" are just two words for the same thing.


What is Circumference measured in?

The circumference of a circle (π * d) is a length.Lengths are given in a linear measure such as:meterslight yearsinchesrodschainsnautical milesyards


How many linear feet does it take to make a circle 18 inches in circumference?

The circumference is approx 4.71 feet.


How many linear feet are in a 20 foot diameter circle?

There are 20 linear feet across the diameter; and 20π ≈ 62.83 linear feet around the circumference.


How many lineal feet around a 5 foot circle?

If the circle is 5 feet around the circumference then there are 5 linear feet in the circumference. If you are asking what is the circumference of a circle with a 5 foot diameter then the answer is Pi x d


The circumference of a circle with aradius of 5?

10*pi measured in linear units


What is the circumference of a circle with the diameter is 14?

pi*14 measured in linear units