Unit Circle
What is Unit Circle?
A unit circle is defined as the location of a point one unit away from a fixed point. It has a center at (0,0) and value of its radius is 1.
How to check If a Point Lies on Unit Circlet?
Any point lying in a 2D plane that is of the form (x, y) is put in the unit circle equation x2 + y2 = 1 to verify if it lies on the circle or not.
What is the formula of Unit Circle?
The unit circle formula is a formula that is used to represent a unit circle algebraically. The unit circle formula is given as,
x2 + y2 = 1
Why is it Called Unit Circle?
A unit circle is called unit circle because it has a radius of one(1) units.
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.