Area of Segment of a Circle
The area of the segment is the difference between the area of the sector and the area of the triangle. In the above figure area of the segment is determined by subtracting the area of the triangle from the area of the sector.
Area of the segment = Area of the sector – Area of the triangle
Formula for Area of Segment of a Circle
- Area of segment (when θ in radians) = (1/2) × r2(θ – sinθ)
- Area of segment (when θ in degrees) = (1/2) × r2 [(π/180) θ – sinθ]
Segment of a Circle
Segment of a Circle is one of the important parts of the circle other than the sector. As we know, the circle is a 2-D shape in which points are equidistant from the point and the line connecting the two points lying on the circumference of the circle is called the chord of the circle.
The area formed on both sides of this chord is called segment which is the topic of this article. In this article, we will learn about the segments of a circle, its types, and theorems related to it as well. So let’s start learning about a segment of a circle.
Table of Content
- What is Segment of a Circle?
- Types of Segments
- Segment of a Circle Formula
- Area of Segment of a Circle
- Perimeter of Segment of a Circle
- Theorems on Segment of a Circle
- Summary of Segment of Circle
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