Sector & Arc Calculator
Arc Length & Sector Area โก
Calculate the arc length, sector area, and chord length of any circle sector from the radius and central angle.
Calculate the arc length, sector area, and chord length of any circle sector from the radius and central angle.
For a sector with radius r and central angle ฮธ (in radians):
Arc Length: l = r ร ฮธ
Sector Area: A = ยฝ ร rยฒ ร ฮธ
Chord Length: c = 2r ร sin(ฮธ/2)
If your angle is in degrees, first convert: ฮธ(rad) = ฮธ(deg) ร ฯ รท 180
A sector is a "pie slice" of a circle โ the region bounded by two radii and the arc between them. The arc is the curved part of the sector's boundary. The chord is the straight line connecting the two ends of the arc.
What is the difference between arc length and chord length?
The arc length is the curved distance along the circumference between the two points. The chord length is the straight-line distance between those same two points. The arc is always longer than the chord.
What is a minor and major sector?
A minor sector has a central angle less than 180ยฐ. A major sector has a central angle greater than 180ยฐ. Together they make up the full circle.
How does sector area relate to circle area?
Sector area = (ฮธ/2ฯ) ร ฯrยฒ = (ฮธ/360) ร ฯrยฒ when ฮธ is in degrees. The sector is simply a fraction of the full circle proportional to the angle.