Perimeter of Segment of a Circle

The perimeter of the segment is the sum of the length of the chord and the length of the arc.

Perimeter of Segment = Length of Chord + Length of the Arc

Formula for Perimeter of 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

Similar Reads

What is Segment of a Circle?

Segment of a circle is the area bounded by the chord and the arc formed from the endpoint of the chord. In other words, the chords divide the circle into two parts and these parts are called the segment of the circle....

Types of Segments

There are two types of segments that are:...

Segment of a Circle Formula

There are two important formulas related to the segment of a circle...

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....

Perimeter of Segment of a Circle

The perimeter of the segment is the sum of the length of the chord and the length of the arc....

Theorems on Segment of a Circle

Alternate Segment Theorem Angles in Same Segment Theorem...

Summary of Segment of Circle

We can summarize the segment of a circle in the following key bullet points:...

Solved Examples of Segment of a Circle

Problem 1: Find the area of the segment given that the area of the sector and the area of the triangle is 10 cm2 and 6 cm2....

FAQs on Segment of a Circle

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