Learn how to calculate the area of a sector of a circle using different formulas based on the central angle and the radius. See solved examples and real-life applications of sectors in geometry, engineering and statistics. The area enclosed by two radii and the corresponding arc in a circle is called a sector of a circle . Explore and learn more about the area of a sector with concepts, definition, formulas, examples, and solutions along with free worksheets A sector is a section of a circle with a pie-like shape. A sector is the region bounded by two radii and a circle’s arc. Every closed figure has an internal space known as its area. In addition to being a closed figure, a sector of a circle has a specific formula that can be used to determine its area. Areas of sector and segment of a circle with radius r and subtends an angle θ (in radians) are given by (1/2)×θr2 and (1/2)×r2(θ -sinθ) respectively. The area of the sector and the area of the segment of the circle are easily calculated using the above formula. In this article, we will explore the areas of sector and segment in detail and also learn the basics of sector and segment of a circle.
