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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To get the circumference of a circle, the equation is pi * diameter. So, in this case, it is 2.5 * pi (3.14), or roughly 7.85. So, the circumference of the circle is about 7.85 inches.
Arch length, or linear distance of an arch, is equal to: (Angle of Arch in Radians) x (Radius of Arch) So for a complete circle (Arch angle of 360 Degrees) with a diameter of 3 feet (or radius of 1.5 feet) the linear circumference would be: (2 x PI) x (radius) = (2 x PI) x (1.5 ft), where PI = 3.14 radians and represents 1/2 of a complete circle. This is also the equation for a circle's circumference.
Diameter = 1/2 of the circle's radius. Diameter = 2 times the square root of (the circle's area/pi) Diameter = the circle's circumference/pi
The formula is pi x the diameter of the circle, which is also pi x (2 x the radius) C = pi * D C = pi * 2r
It is NOT a formula but an EQUATION . The answer is C = pi*d This equation has been known for thousands of years. It can also be in the form of C = 2 pi r NB 2r = d Also A = pi r^(2) for the area of a circle.