unit circle

noun

, Mathematics.

1. a circle whose radius has a length of one unit.

Word History and Origins

Origin of unit circle¹

First recorded in 1950–55

Example Sentences

When a = b= 1, the equation is x2 + y2 = 1, and this produces a circle with radius 1, the “unit circle”.

From Literature

And as you keep raising the number to higher and higher powers, the number will spiral inward or outward, depending on whether the number is on the inside or on the outside of the unit circle, a circle centered at the origin with radius 1.

From Literature

In topology, his proof of the Poincare´ Conjecture in dimension 1, showing that the unit circle is the only simply connected compact 1-manifold without boundary, sent topology into a decade-long tailspin.

From Scientific American

The distinction doesn’t really matter—they could multiply things by π as needed to ship their work over to the standard unit circle—but this fact can help us understand part of how they did their work.

From Scientific American

After hearing the sad news, I found myself browsing his apers on the arXiv and decided to click on “The densest sequence in the unit circle,” which he and Jon cowrote a decade ago.

From Scientific American