A unit circle is not normally called 2 pi. Because the radius length measure of the unit circle is 1 unit, then the circumference of a unit circle is 2*pi, and its area is pi.
all multiples of pi. pi, 2 pi, - pi, -2 pi and so on...
Pi is a natural constant of the ratio circumference divided by diameter. That ratio cannot have any unit.
2 pi
Pi is related to the area and the circumference of the circle. The area is Pi multiplied by the radius of the circle squared and the circumference is Pi times the diameter of the circle. if you're wondering how it works, pi is the area of a circle with radius of 1 (unit), and the circumference of a circle with a radius of ½ (unit).
Pi over 12 on a radian unit circle is a little more than a quarter of the circle. Radian units are an alternative to degrees.
The math unit pi (not pie!) is approx 3.14159 which is 314.159%
Since the radius of the unit circle is 1, the circumference is 2 x pi.
The area of a square with side x is x2 SQUARE units. A circle with diameter 1 unit, has an area of pi/4 square units. Since the area of a square with side of 1 unit is 1 square unit, let us call the area of a circle of diameter 1 unit to 1 circular unit. That gives 1 circular unit = pi/4 square units. So a square with sides of x units = x2 units = pi*x2/4 or pi*(x/2)2 units.
The area of a circle is {pi} x radius2. 12 = 1, so: a circle of radius 1 unit has an area of exactly pi units2
Looking at a unit circle, cosine is the horizontal coordinate. Pi radians is halfway around the circle (180°), so the coordinate is (-1,0). Cosine(pi) = -1
Pi is an irrational number, and is the circumference of the unit circle. It's a neat number to use in all sorts of circumstances.