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Calculate Arc Length and Sector Area

Wanting to calculate arc length? Use our arc length of curve calculator to do so, given the radius and the angle formed by the arc.
Arc length is a measure of the distance along the curved line of a circle and is an important concept in mathematics.

Calculation

Inputs



r
:20​



θ
:45deg​


Output



L
:15.71m​



A
:157.1m2​


Explanation

The distance that separates two points along a curve section is called arc length. Curve rectification approximates an irregular arc segment as connected line segments to determine its length.
The equation for the arc length of a circle is:

Arc Length=L=θ∗rArc \space Length = L = \theta*r
arc length calculation


The equation for the area of the sector it creates is:

Area of Sector=θ∗r22Area \space of \space Sector = θ*\frac{r^2}{2}
Where θ is the central angle in radians and r is the radius of the circle.

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