Find the equation of the unit circle.
Answer 1
Sophia Williams
The unit circle is defined as the set of all points in the coordinate plane that are exactly one unit away from the origin. The equation of the unit circle can be derived using the Pythagorean theorem. For a point $(x, y)$ on the circle:
$ x^2 + y^2 = 1 $
This equation represents all the points $(x, y)$ that satisfy the condition of being one unit away from the origin.
Answer 2
Emily Hall
The unit circle is a circle centered at the origin with a radius of 1. The equation of the unit circle is given by:
$ x^2 + y^2 = 1 $
This equation means that for any point $(x, y)$ on the circle, the sum of the squares of the coordinates is equal to 1.
Answer 3
Chloe Evans
The equation of the unit circle is:
$ x^2 + y^2 = 1 $
This represents a circle with a radius of 1 centered at the origin.
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