LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

SEGMENT OF A CIRCLE

__SEGMENT OF A CIRCLE -__

**A segment of a circle is the region bounded by a chord (a straight line connecting two points on the circle) and the arc intercepted by the chord. There are two main types of segments: minor segment and major segment.**

**A chord of a circle divides its circular region into two parts. Each part is called segment.**

**The part containing the minor arc is called minor segment, and the part containing the major arc is called the major segment. **

__Minor Segment:-__The minor segment is the region enclosed by a chord and the minor arc (the smaller portion of the circumference) intercepted by the chord.The area of the minor segment can be calculated using the formula:-

** Area of Minor Segment = 1/2 r² (θ − sinθ)**

**where: **

** r is the radius of the circle.**

** θ is the central angle of the segment in radians.**

** 2. Major Segment:- The major segment is the region enclosed by a chord and the major arc (the larger portion of the circumference) intercepted by the chord. The area of the major segment can be calculated using a similar formula:**

** Area of Major Segment = 1/2 r²(2π − θ + sinθ) **

**where:-**

** r is the radius of the circle.**

** θ is the central angle of the segment in radians.**