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# Calculate The Area Of An Elliptical Segment

Last updated: Saturday, June 24, 2023
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:
$$A$$ $$=$$ $$a$$ $$\cdot$$ $$b$$ $$\cdot$$ $$cos^{-1}(1$$ $$-$$ $$\dfrac{h}{a})$$ $$-$$ $$a$$ $$\cdot$$ $$b$$ $$\cdot$$ $$(1$$ $$-$$ $$\dfrac{h}{a})$$ $$\cdot$$ $$\sqrt{\dfrac{2 \cdot h}{a} - \dfrac{h^2}{a^2}}$$
$$A$$: 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: $$square \text{ } meter\text{ }(m^2)$$

## 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.
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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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