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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 radians

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 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.

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