Math and Arithmetic
Algebra

# What is the equation of a unit circle?

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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## 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.

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