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What is the equation of a unit circle?

Updated: 4/28/2022
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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

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Q: What is the equation of a unit circle?
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Related questions

What is the unit circle?

The unit circle is a circle that can be used to find trigonometric functions. The equation of the unit circle is x^2 + y^2 = 1. So it is any circle with radius 1.


What equation represent an angle in a unit circle?

A=u^x/360


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For a circle with center at (a,b), and radius r: (x-a)2 + (y-b)2 = r2


How can one calculate the area of a unit circle?

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What is the equation of circle in complex number?

z=e^(2 times pi times i times t) If t goes from 0 to 1, then you get the unit circle.


Can the unit circle have a radius of 2 unit?

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The unit circle is a circle with its center at the origin and a radius of ' 1 '.


How many units in a unit circle?

A unit circle is a circle with radius equal to one.


What is the equation for a unit circle when solved for Y?

x2 + y2 = 1x2- x2+ y2= 1 - x2y2 = 1 - x2y =± √(1 - x2)


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It is unknown who created the unit circle. Pythagoras did a lot of work related to the unit circle. In ancient times, Greek, Indian, and Arabian mathematicians used the unit circle.


Why is the unit circle called two pi?

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.


What kind of unit does a circle have?

A circle can have a unit of length which could be either a measure of its diameter or radius, or of its circumference. Or the circle could have the unit of area.