What is Unit Circle?
Unit Circle is a circle that has a radius of One(1) unit. We use the cartesian plane to draw a unit circle and a unit circle is a 2-degree polynomial with two variables. The unit circle has various applications in trigonometry and algebra and is majorly used to find the values of different trigonometric ratios such as sin x, cos x, tan x, and others.
Unit Circle Definition
In Mathematics, we define a unit circle as the locus of a fixed point that is at a distance of one unit from the center of the circle. A unit circle has a radius of one unit and hence the name unit circle.
Unit Circle: Definition, Formula, Diagram and Solved Examples
Unit Circle is a Circle whose radius is 1. The center of unit circle is at origin(0,0) on the axis. The circumference of Unit Circle is 2π units, whereas area of Unit Circle is π units2. It carries all the properties of Circle. Unit Circle has the equation x2 + y2 = 1. This Unit Circle helps in defining various Trigonometric concepts.
The Unit Circle is often denoted as S1 generalization to higher dimensions is the unit sphere. Let’s understand more about Unit Circle, Formula and Solved examples in detail below.