The points (x, y) of the unit circle are those that satisfy:
x2 + y2 = 1
or in parametric form:
x = cos t
y = sin t
as t varies from 0 to 2{pi} radians (= 360o)
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The ant is at (-0.2794, 0.9602)
The coordinates of all points in the coordinate plane consist of ordered pairs of numbers.
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.
There really isn't much to memorize. The unit circle is a circle with a radius of 1.
A circle is the locus of all points equidistant from a given point, which is the center of the circle, and a circle can be drawn with a compass. (The phrase "locus of points for a circle" does not seem to be conventionally defined.) or true