ARC (GEOMETRY)

(Redirected from Circular arc)

In Euclidean geometry, a circular 'arc' is a closed segment of a differentiable curve in the two-dimensional plane; for example, an 'arc' is a segment of a circle. If the arc segment occupies a great circle (or great ellipse), it is considered a great-arc segment.
The length of an arc of a circle with radius $r$ and subtending an angle $heta,!$ (measured in radians) with the circle center—i.e., the 'central angle'—equals $heta\; r,!$. This is because
:
Substituting in the circumference
:
and solving for arc length, $L$, in terms of $heta,!$ yields
:$L=\; heta\; r.,!$
For an angle measured in degrees, the size in radians is given by
:
and so the arc length equals then
:

Contents

See also

External links

See also

★ Arc length

★ Other meanings of arc

External links

★ Definition and properties of a circular arc With interactive animation

★ A collection of pages defining arcs and their properties, with animated applets Arcs, arc central angle, arc peripheral angle, central angle theorem and others.