Find the equation of the unit circle centered at the origin.
Answer 1
Matthew Carter
To find the equation of the unit circle centered at the origin, we start with the standard form of the circle equation:
$ (x – h)^2 + (y – k)^2 = r^2 $
For a unit circle centered at the origin, the center (h, k) is (0, 0) and the radius r is 1. Substituting these values, we get:
$ (x – 0)^2 + (y – 0)^2 = 1^2 $
Simplifying this, the equation of the unit circle is:
$ x^2 + y^2 = 1 $
Answer 2
Alex Thompson
We need to find the equation of a circle with a radius of 1, centered at the origin (0, 0). The general equation of a circle is:
$ (x – h)^2 + (y – k)^2 = r^2 $
Substituting the center (0, 0) and radius 1, the equation becomes:
$ (x – 0)^2 + (y – 0)^2 = 1^2 $
This simplifies to:
$ x^2 + y^2 = 1 $
Answer 3
Ella Lewis
The equation of a unit circle with center at (0, 0) and radius 1 is given by:
$ x^2 + y^2 = 1 $
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