Segment of a Circle
What is Circle?
Circle is the 2-D shape in which all the points are equidistant from the center.
Define Segment of a Circle.
The segment of a circle is the area bounded by the chord and the arc formed from the endpoint of the chord.
What are Types of segments?
There are two types of segments of a circle: major and minor segment: The bigger segment is called the major segment and the smaller segment is called the minor segment.
State the Formula for the Area of the Segment in Radians.
Area of segment (when θ in radians) = (1/2) × r2(θ – sinθ)
State the Formula for the Area of the Segment in Degrees.
Area of segment (when θ in degrees) = (1/2) × r2 [(π/180) θ – sinθ]
Write the Formula for the Perimeter of the Segment of a Circle.
Perimeter of segment (when θ in radians) = rθ – 2rsin(θ/2)
Perimeter of segment (when θ in degrees) = rθ(π/180) – 2rsin(θ/2)
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