Introduction
Arc length is a measure of the distance along the curved line of a circle and is an important concept in mathematics. This calculation will define the arc length of a circle given the radius and the angle formed by the arc.Calculation
⬇️ Inputs
Radius (r)
:20
Angle (θ)
:45deg⬆️ Outputs
Arc length (L)
:15.71m
Area of a Sector (A)
:157.1m2Explanation
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:
The equation for the area of the sector it creates is:
Where θ is the central angle in radians and r is the radius of the circle.
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