There really isn't much to memorize. The unit circle is a circle with a radius of 1.
Chat with our AI personalities
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.
A unit circle is a circle of radius 1. If it's center is at the origin of an xy-coordinate system, then the equation is x (squared) + y (squared) = 1
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).
The basic idea is that a complete turn around the unit circle has a length of 2 x pi (i.e., approximately 6.28). For numbers larger than 2 x pi, you go that distance around the unit circle, moving around it more than once - and eventually end up on some point on the unit circle. For example, if you go a distance of 3 x pi around the unit circle, that is equivalent of a distance of pi (equal to 180 degrees). For negative numbers, you simply move around the unit circle in the opposite direction.
The circumference of a circle with a 28 unit diameter is: 88cir=dx22/7