Arc Length Calculator
Arc Length
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Sector Area
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Chord Length
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How to Calculate Arc Length
Arc length s = r x theta (radians). For degrees: s = r x theta x pi/180. Sector area A = 0.5 x r^2 x theta.
Chord length c = 2r x sin(theta/2). Arc is always longer than chord except at angle 0.
Used in engineering (pulleys, gears), construction (curved walls, arches), and physics (circular motion).
Frequently Asked Questions
Arc length formula?
s = r x theta (radians). For degrees: s = r x theta x pi/180. Full circle = 2*pi*r.
Arc vs chord length?
Arc follows the curve; chord is straight between endpoints. Arc is always longer.
When to use radians?
Radians simplify formulas (s=r*theta). In calculus and physics, radians are standard.
Find radius from arc length?
r = s / theta. Divide arc length by central angle in radians.