sector, chord, arc length calculator

choose two parameters you know
radius and central angleradius chord ab
radius and vault heightedradius and edge distance oe
radius chord ab
chord ab and arch height edchord ab & edge-center distance oe
arch height ed & edge center distance oechord ab & arc ab













effective digits>>>

ao and ob are called radius

ac, bc and ab are called strings

angle acb is the angle of the circle

angle aob is the center image of the circle

the curved part ab is arc.

oe is the edge-center distance

triangle aob is a triangle area

ed is the arch height

the arc length calculation formula is: (central angle / 180°) •π • r

the yellow area is fan-shaped

the formula for sector area is: (angle aob / 360°) •π • r²

the green area is the arch height area

the size of this area = sector area - aob triangle