Cir Calculator

Sets the headline answer. Everything else is still returned.
Used for the arc, chord, sector, segment and sagitta. A full circle is 360 degrees.
Area
3.141593
Circle Calculator
Radius
1
Diameter
2
Circumference
6.283185
Central angle
90
Central angle in degrees
90 deg
Central angle in radians
1.570796 rad
Arc length
1.570796
Chord length
1.414214
Sector area
0.785398
Sector perimeter
3.570796
Circular segment area
0.285398
Sagitta (segment height)
0.292893
Distance from centre to the chord
0.707107
Side of the largest inscribed square
1.414214
Worked out from Weisstein, Eric W. "Circle", "Circular Sector" and "Circular Segment", MathWorld and 2 other sources.

How this is worked out

6 steps
  1. Radius from the known radius: r = 1.
  2. Circumference C = 2*pi*r = 6.283185307179586; area A = pi*r^2 = 3.141592653589793.
  3. Central angle = 90 deg = 1.5707963267948966 rad.
  4. Arc s = r*theta = 1 * 1.5707963267948966 = 1.5707963267948966.
  5. Chord = 2 r sin(theta/2) = 1.414213562373095; sector area = r^2*theta/2 = 0.7853981633974483.
  6. Segment area = r^2 (theta - sin theta)/2 = 0.2853981633974483; sagitta = r(1 - cos(theta/2)) = 0.2928932188134524.

Results are general information, not financial, tax, legal, medical or engineering advice.