arc

(noun)

A continuous part of the circumference of a circle.

Related Terms

Examples of arc in the following topics:

  • Radians

    • The portion that you drew is referred to as an arc.
    • The length of the arc around an entire circle is called the circumference of that circle.
    • An arc length $s$ is the length of the curve along the arc.
    • (a) In an angle of 1 radian; the arc lengths equals the radius $r$.
    • (b) An angle of 2 radians has an arc length $s=2r$.

  • Circles as Conic Sections

    • Sector: a region bounded by two radii and an arc lying between the radii.
    • Segment: a region bounded by a chord and an arc lying between the chord's endpoints.

  • Defining Trigonometric Functions on the Unit Circle

    • The angle $t$ (in radians) forms an arc of length $s$.