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Calculate The Area Of An Elliptical Segment

Last updated: Saturday, June 24, 2023
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Select a type of segment below
Circular Segment
Elliptical Segment

The area of a circular segment is the region bounded by a chord and an arc of a circle. It is commonly used in geometry and engineering to calculate the area of curved surfaces. For example, the area of a sector of a circle, the shape of a pizza slice or a pie, is a type of circular segment. Another real-life example of a circular segment is the shape of a windowpane in a rounded arch window.

Knowing the area of a circular segment can be useful in various fields such as architecture, construction, and manufacturing. In architecture, the calculation of the area of a circular segment is important when designing curved surfaces for buildings or structures. In construction, the area of a circular segment can be used to determine the amount of material needed to cover curved surfaces, such as roofs or domes. In manufacturing, the area of a circular segment is used in the production of curved surfaces for products like vehicle parts or sports equipment.

Overall, the area of a circular segment is a fundamental concept in mathematics and has practical applications in various industries.

The formula for determining the area of an elliptical segment is defined as:
A = a b cos1(1 ha) a b (1 ha) 2hah2a2
A: the area of the segment
a: The length of axis a
b: the length of axis b
h: the length of the segment height
The SI unit of area is: square meter (m2)

Find A

Use this calculator to determine the area of an elliptical segment when the length of its axes and the segment height are given.
The length of axis a
a
meter
the length of axis b
b
meter
the length of the segment height
h
meter
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