What is formula of an arc?
Answers
Answer :—
Formula of Arc = θ × r
Answer:
A part of a curve or a part of a circumference of a circle is called Arc.
What is Arc Length?
The arc length is defined as the interspace between the two points along a section of a curve. An arc of a circle is any part of the circumference. The angle subtended by an arc at any point is the angle formed between the two line segments joining that point to the end-points of the arc. For example, in the circle shown below, OP is the arc of the circle with center Q. The arc length of this arc OP is given as L.
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Arc Length Formula
The length of an arc can be calculated using different formulas, based on the unit of the central angle of the arc. The measurements of the central angle can be given in degrees or radians, and accordingly, we calculate the arc length of a circle. For a circle, the arc length formula is θ times the radius of a circle.
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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
The arc length of a circle can be calculated using different formulas, based on the unit of the center angle of the arc. The arc length formula in radians can be expressed as,
Arc Length = θ × r
where,
L = Arc Length
θ = Center angle of the arc in radians
r = Radius of the circle