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All formulas of a circle

Length of a chord of a circle

length chord circle

R red  -  radius

L14 blue  -  chord

alpha-brown  - central angle

O black  -  circumcenter

 

Find the length of a chord of a circle if given radius and central angle ( L ) :

length chord circle F1

length chord circle F2

 

 

Height of a segment of a circle

height segment circular disc

R red  -  radius

L14 blue  -  chord

h  -  height of the segment

alpha-brown  - central angle

O black  -  circumcenter

 

Find the height of a segment of a circle if given radius and central angle ( h  ) :

height segment circular disc F1

 

Find the height of a segment of a circle if given radius and chord ( h  ) :

height segment circular disc F2

 

Find the height of a segment of a circle if given chord and central angle ( h  ) :

height segment circular disc F3