Arc Length = θ × r, where θ is in radian.Given below are key highlights on the concept of arc length. Step 4: Arc length = radius × central angle = 2 × 1.898 = 3.796 units.Double the result of the inverse sine to get the central angle in radians.Įxample: Calculate the arc length of a curve, whose endpoints touch a chord of the circle measuring 5 units.Find the inverse sine of the obtained result.Divide the chord length by twice the given radius.Step 3: Arc length = radius × central angle = 2 × 12.5 = 25 units.Multiply the central angle by the radius to get the arc length.Įxample: Calculate the arc length of a curve with sector area 25 square units and radius as 2 units.Then divide the result by the radius squared (the units should be the same) to get the central angle in radians.The arc length of a circle can be calculated without the angle using:
#Arc length formula calculus how to#
Thus, arc length = 5.946 units How to Find Arc Length Without the Central Angle? Step 4: Arc length = radius × central angle = 2.973 × 2 = 5.946 units.The central angle subtended by the arc is 2 radians. Multiply the radius by the central angle to get the arc length.Įxample: Calculate the arc length of a curve, whose endpoints touch a chord of the circle measuring 5 units.This calculation gives you the radius as result. Divide the given chord length by twice the result of step 1.Divide the central angle in radians by 2 and further, perform the sine function on it.Step 4: 5 × central angle = 5 × 2 = 10 units.The units of this calculated arc length will be the square root of the sector area units.Įxample: Calculate the arc length of a curve with sector area 25 square units and the central angle as 2 radians.Multiply this obtained root by the central angle again to get the arc length.Find the square root of the result of the division.Multiply the sector area by 2 and further, divide the result by the central angle in radians.The arc length of a circle can be calculated without the radius using: How to Find Arc Length Without the Radius? Length of an Arc = θ × (π/180) × r, where θ is in degree.
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