unit circle

American  

noun

Mathematics.

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

---

Etymology

Origin of unit circle

First recorded in 1950–55

Example Sentences

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

You can just read the sine off of the picture! After a few weeks of struggling to remember which trig function was which for which angle in a triangle, learning about and then internalizing the unit circle was huge for me.

From Scientific American

I’m too afraid of commitment and discomfort to get a tattoo, but the unit circle would be pretty high on the list if I were considering one.

From Scientific American