Math and Arithmetic
Algebra

# What is the equation of a unit circle?

###### Wiki User

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

๐
0
๐คจ
0
๐ฎ
0
๐
0

## Related Questions

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.

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

To calculate the area of a unit circle you should use the equation x2+y2=1. The unit circle equal area of 1. You can find out more information on the mathisfun website for deeper explanation.

If the radius is two. it won't be a unit circle, a unit circle is defined as a circle with radius one.

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

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

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

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.

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 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.

There really isn't much to memorize. The unit circle is a circle with a radius of 1.

A unit circle is one that has a radius of one. One = Unit, and hence the name.

The radius of a circle = the diameter of the circle divided by 2

The equation for a circle is a function in that it can be graphed and charted. One common equation is x^2 + y^2 = r^2.

WHAT ARE THE TANGENTS OF ALL COORDINATES IN THE UNIT CIRCLE?

The general equation of a circle is given by the formula(x - h)2 + (x - k)2 = r2, where (h, k) is the center of the circle, and r its radius.Since the center of the circle is (0, 0), the equation reduces tox2 + y2 = r2So that the equation of our circle is x2 + y2 = 36.

Circumference ("perimeter") of a circle = (pi) x (diameter of the circle)

depending on the circles equation..a larger circle is easier

Equation of a circle when its centre is at (0, 0): x^2 + y^2 = radius^2 Equation of a circle when its centre is at (a, b): (x-a)^2 + (y-b)^2 = radius^2

Standard equation for a circle centred at the origin is x2 + y2 = r2 where r is the radius of the circle. If you increase the size of the circle then the radius must increase, so r2 will be larger. eg a circle of radius 2 has the equation x2 + y2 = 4, if the radius increases to 3 then the equation becomes x2 + y2 = 9

Since the radius of the unit circle is 1, the circumference is 2 x pi.

The inner circle is x2 + y2 = 4. The radius of the inner circle is the square root of 4, which is 2. To find the radius of the outer circle, multiply 2 times 4. The radius of the outer circle is 8. Square 8 (82 or 8 x 8) to find the number to put into the equation of the outer circle. This is 64. The equation for the outer circle is x2 + y2 = 64.

###### Math and ArithmeticGeometryAlgebraAreaElements and Compounds

Copyright ยฉ 2021 Multiply Media, LLC. All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Multiply.