Summary – Sector of a Circle
- Sector is the region enclosed by two radii and arc length in the circle.
- Angle subtended by the arc on the centre is known as the central angle.
- Area of a sector of the circle is
- Arc length of the sector of the circle is
- Perimeter of the sector of the circle is
Some Key points about Sector of a Circle are:
- Sum of the angles of any sector of a circle is always 360 degrees.
- Area of a sector is always less than the area of the entire circle.
- Arc length of the sector is also always less than the circumference of the circle.
- Perimeter of a sector can be more than the circumference of the entire circle.
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Sector of a Circle
Sector of a Circle is one of the components of a circle like a segment which students learn in their academic years as it is one of the important geometric shapes. The sector of a circle is a section of a circle formed by the arc and its two radii and it is produced when a section of the circle’s circumference and two radii meet at both extremities of the arc. From a slice of pizza to a region between two fan blades, we can see sectors of the circle in our daily lives everywhere.
In this article, we will explore the geometric shape of the sector which is derived from the circle in detail including its areas, perimeter, and all the formulas related to the sector of a circle.
Table of Content
- What is Sector of a Circle?
- Sector of a Circle Definition
- Sector Angle
- Sector of a Circle Examples
- Sector of a Circle Area
- Formula for Area of a Sector
- Derivation of Formula for Area of a Sector
- Area of Minor Sector
- Area of Major Sector
- Arc Length of Sector of a Circle
- Formula for Arc Length of a Sector
- Derivation of Formula for Arc Length of a Sector
- Sector of a Circle Perimeter
- Perimeter of a Sector Formula
- Sample Problems Sector of a Circle
- Summarizing Important Formulas of Sector of a Circle