Determine the equation of a unit circle and explain the geometric significance
Answer 1
Abigail Nelson
The equation of a unit circle centered at the origin is given by:
$ x^2 + y^2 = 1 $
This equation signifies that any point $ (x, y) $ on the unit circle is at a distance of 1 unit from the origin. The radius of the circle is always 1.
Answer 2
Ava Martin
The standard equation for a unit circle centered at the origin is:
$ x^2 + y^2 = 1 $
In this equation, $ x $ and $ y $ represent the coordinates of any point on the circle. The equation shows that the distance from the origin to any point on the circle is 1 unit.
Answer 3
Amelia Mitchell
The unit circle is defined by the equation:
$ x^2 + y^2 = 1 $
This implies that for any point $ (x, y) $ on the circle, the distance to the origin is 1 unit.
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