Area of a segment
The area of a segment is the area enclosed between a chord and the corresponding arc of a circle.
Practice This ConceptMain explanation
Teacher explanation
A segment is a smaller part of a circle cut off by a chord. To find its area, students usually find the sector area first and then subtract the area of the triangle formed by the two radii and the chord. This is a common exam method.
Example
For a minor segment, if sector area is 60 cm² and triangle area is 20 cm², then segment area is 40 cm².
Simple analogy
Segment means sector minus triangle.
Common confusion
Students often forget to subtract the triangle area and write the sector area as the final answer.
Exam tip
Whenever a chord is inside a circle, check whether the question is asking for the smaller segment or the larger part.
Answer writing and exam use
1-mark use
Write the exact meaning of area of a segment in one clean line.
2-mark use
Define area of a segment and add one example or condition.
3-mark use
Explain area of a segment, show the method or example, and mention the common mistake.
Practice this concept with focused MCQs
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