Arc Length

About Arc Length

The distance along a portion of the circumference of any circle or curve is best characterised as arc length (arc). The arc length is any distance along the curved line that makes up the arc. Arc refers to a portion of a curve or the circumference of a circle. Their shapes all have a curvature to them. An arc's length is greater than any straight line distance between its ends (a chord).

What is Arc Length?

The interspace between two locations along a portion of a curve is defined as the arc length. Any section of a circle's circumference is considered an arc. An arc's subtended angle at any location is the angle generated by the two line segments connecting that point to the arc's endpoints. OP, for example, is the arc of the circle with centre Q in the diagram below. L denotes the arc length of this arc OP.

Arc Length Formula

Different formulas can be used to compute the length of an arc based on the unit of the arc's central angle. The centre angle can be measured in degrees or radians, and the arc length of a circle is calculated appropriately. The arc length formula for a circle is times the radius of a circle.

The arc length formula in radians can be expressed as, arc length = θ × r, when θ is in radian. Arc Length = θ × (π/180) × r, where θ is in degree, where,

L = Length of an Arc

θ = Central angle of Arc

r = Radius of the circle

Arc Length Formula in Radians

Different formulas can be used to compute the arc length of a circle based on the unit of the arc's centre angle. The arc length formula in radians is as follows:

Arc Length = θ × r

where,

L = Arc Length

θ = Center angle of the arc in radians

r = Radius of the circle

To get all the Maths formulas check out the main page. 

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Arc Length
Arc Length

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