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unit of measure: the base unit | the supplementary unit | the derived unit

geometry: the area of a flat figure | the area of a solid | the volume of the solid


The segment of a circle, disc

Definition:

A segment of a circle, disc is the part of a circle, disc that is bounded by its arc and chord.

The area of a segment of a circle, disc is the difference between the area of AOB sector and the area of the equiteral triangle AOB, expressed by an angle.

Computing relationship:

The area of a segment of a circle, disc, circumference for an angle in degrees

Computing relationship:

where:

r — the radius of a circle, disc;

α — the angle formed by radiuses, in degrees.

Calculator: the area of a segment of a circle, disc


For separation of number integers and decimals, use the symbol – point [.]

the radius of a circle, disc — r

the angle formed by radiuses, in degrees — α

°

 


the area of a segment of a circle, disc =

 

The area of a segment of a circle, disc, circumference for angle in radians

Computing relationship:

where:

r — the radius of a circle, disc;

α — the angle formed by radiuses, in radians.

Calculator: the area of a segment of a circle, disc


For separation of number integers and decimals, use the symbol – point [.]

the radius of a circle, disc — r

the angle formed by radiuses, in radians — α

rad

 


the area of a segment of a circle, disc =

 

 

context information: contemporary and archaic unit of measurement of area