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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 rings

Definition:

The sector of a ring is the fraction of the circle, disc, circumference limited by two arc with different diameters and two line of the radiuses from the arcs’ ends.

The area of a sector of a ring, is the difference between the areas of the small and large sectors.

The area of a sector of a ring for the angle in degrees, is estimated as the product of π value and the ratio of the sector to the integral circumference 360° and to the diference between the squares of radiuses of both small and large circumferences.

The area of a sector of a ring for the angle in radians, is estimated as the product of one half of the angle of sector and the difference between the squares of both large and small radiuses.

The area of a sector of a ring for the angle in degrees

Computing relationship:

where:

r1 — the outer radius of a ring;

r2 — the inner radius of a ring;

α — angle of a sector in degrees.

Calculator: the area of a sector of a ring


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

the outer radius of a ring — r1

the inner radius of a ring — r2

angle of a sector — α

°

 


the area of a sector of a ring =

 

The area of a sector of a ring for the angle in radians

Computing relationship:

where:

r1 — the outer radius of a ring;

r2 — the inner radius of a ring;

α — angle of a sector in radians.

Calculator: the area of a sector of a ring


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

the outer radius of a ring — r1

the inner radius of a ring — r2

angle of a sector — α

rad

 


the area of a sector of a ring =

 

 

context information: contemporary and archaic unit of measurement of area