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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

for the angle in degrees

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.

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 =

 

 

context information: contemporary and archaic unit of measurement of area