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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 area of a sector of a circle, disc

Definition:

The sector of a circle, disc by the length of the sector’s arc, is a part of a circumference that is bounded by the arc and two radiuses from the limit points of that arc.

The area of a sector of a circle, disc is equal to the product of one half of arc’s length and the radius of the circle, disc.

The area of a sector of a circle, disc by sector’s angle in degrees, is equal to the product of one half of arc’s length and the radius of the circle, disc.

The area of a sector of a circle, disc by sector’s angle in radians, is the product of the square of the radius and one half of the angle.

The area of a sector of a circle, disc by the length of the sector’s arc

Computing relationship:

where:

r — the radius of a circle, disc;

p — the arc of a circle, disc.

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


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

the radius of a circle, disc — r

the arc of a circle, disc — p

 


the area of a sector of a circle, disc =

 

The area of a sector of a circle, disc by sector’s angle in degrees

Computing relationship:

where:

r — the radius of a circle, disc;

n — the angle of arc of a circle, disc, in degrees ( 0).

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


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

the radius of a circle, disc r

the angle of arc of a circle, disc n

0

 


the area of a sector of a circle, disc =

 

The area of a sector of a circle, disc by sector’s angle in radians

Computing relationship:

where:

r — the radius of a circle, disc;

α — the angle of arc of a circle, disc, in radians.

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


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

the radius of a circle, disc r

the angle of arc of a circle, disc α

rad

 


the area of a sector of a circle, disc =

 

 

context information: contemporary and archaic unit of measurement of area