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: