Areas Related to Circles PYQs
Master sectors, segments, arc lengths, and real-world circle applications with board-focused PYQs.
Revise the formulas for circumference, sector area, and segment area, then apply them to diagrams and everyday contexts. These topic-wise questions help you choose the correct radius, angle, and units before writing a clear CBSE solution.
Choose a topic
Open a topic to start board-focused practice.
CBSE Board Exam Blueprint & Topic Weightage: Areas Related to Circles
In the Class 10 CBSE Board Examination, Areas Related to Circles is a high-yielding component of Unit 6: Mensuration, consistently carrying 3 to 4 marks in the annual 80-mark written board paper. Recurring question formats observed over past board papers include:
- Section A (1 Mark MCQ): Formula-based questions on perimeter (circumference) and area of circle, area of semicircle, or relation between central angle and sector area.
- Section B / C (2 or 3 Marks): Finding area of sector of a circle \(\frac{\theta}{360^\circ}\pi r^2\) and length of an arc \(\frac{\theta}{360^\circ}2\pi r\), such as clock minute hand sweeps in 5 or 15 minutes.
- Section C / D (3 Marks Composite Area): Calculating area of minor and major segments by subtracting the area of triangle from sector area, especially for central angles of \(60^\circ\) and \(90^\circ\).
Key Revision Tips & Common Pitfalls
For central angle \(90^\circ\), the triangle is right-angled with area \(\frac{1}{2}r^2\). For central angle \(60^\circ\), the triangle is equilateral with area \(\frac{\sqrt{3}}{4}r^2\). Ensure \(\pi\) is substituted as \(22/7\) or \(3.14\) strictly according to paper instructions.