Ympyräsegmentti

A ympyräsegmentti, or circle segment in English, is a region of a circle cut off by a straight line, called a chord. The segment includes the chord and the arc of the circle that is subtended by the chord. The area of a circle segment can be calculated using the radius of the circle and the central angle subtended by the arc.

The central angle is the angle formed by two radii of the circle that connect to the endpoints of the chord. The area of the segment can be found by subtracting the area of the triangle formed by the two radii and the chord from the area of the sector of the circle that is defined by the central angle. The formula for the area of a circle segment is A = (r²/2) * (θ - sinθ), where r is the radius and θ is the central angle in radians.

Circle segments have various applications in geometry, physics, and engineering. They are used in the design of lenses, mirrors, and other optical devices. In architecture, circle segments can be seen in the design of arches and domes. Understanding the properties of circle segments is essential in these fields and many others.