त्रिज्यखंड और वृत्तखंड के क्षेत्रेफल

Introduction to Sectors and Segments

The region between two radii of a circle and the arc between them is called a sector. The sector always starts from the center of the circle. The semi-circle is also called the sector of the circle. The space or the area occupied by the sector of a circle is called the area of a sector of a circle. Geometrically, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints.

Area of Sector

चित्र-1 - त्रिज्यखंड

A sector of a circle is identified as the reconstructed part of the circle bounded by two radii and the arc which connects them. The space which is occupied by the sector of a circle is called the area of a sector of a circle.

Two types of sectors are major sectors and minor sectors.

• A major sector is defined as a sector that is greater than a semicircle.
• A minor sector is defined as a sector that is less than a semi-circle.

Fig - 1 represents the minor and major sectors. OAPB is called the minor sector, OAQB is called the major sector of the circle.

$\angle AOB$ is the angle of minor sector and $360^{\circ }-\angle AOB$ is the angle of major sector.