Class 10 Mathematics — Chapter 11: Areas Related to Circles
63 practice questions · 22 Easy · 22 Medium · 19 Hard
Practise Class 10 Mathematics Chapter 11, "Areas Related to Circles", with 63 NCERT-aligned multiple-choice questions. The set is split into 22 Easy, 22 Medium and 19 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams and the JEE & NEET foundation years.
"Areas Related to Circles" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.
Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Areas Related to Circles, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 10 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 63.
Key concepts: Areas Related to Circles (Class 10 Mathematics)
This chapter finds areas and lengths inside a circle — the area of a sector, the length of an arc, and the area of a segment cut off by a chord.
- Sector
- The region between two radii and the arc between them, like a slice of pizza.
- Segment
- The region between a chord and the arc it cuts off.
- Arc length
- The portion of the circumference subtended by the sector's angle θ at the centre.
- Area of a segment
- Area of the sector minus the area of the triangle formed by the two radii and the chord.
Key formulas — Areas Related to Circles
💡 Exam tips for Areas Related to Circles
- Use π = 22/7 when the radius is a multiple of 7; otherwise use 3.14.
- Area of a segment = sector area − triangle area; don't forget to subtract the triangle.
Sample questions
Circumference of a circle of radius r:
C = 2πr.
Area of sector of radius 7, angle 90°:
(θ/360)×πr² = (1/4)×154 = 38.5.
Area of minor segment = area of sector − area of:
Segment = Sector − triangle formed by chord and radii.
Areas Related to Circles — FAQs
What are the key concepts in Class 10 Mathematics Areas Related to Circles?+
This chapter finds areas and lengths inside a circle — the area of a sector, the length of an arc, and the area of a segment cut off by a chord. Key ideas include Sector, Segment, Arc length, Area of a segment.
What does Class 10 Mathematics Chapter 11 (Areas Related to Circles) cover on XamBaaz?+
It covers 63 NCERT-aligned MCQs on "Areas Related to Circles" — 22 Easy, 22 Medium and 19 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams and the JEE & NEET foundation years.
Are these "Areas Related to Circles" questions free to practise?+
Yes — sign in with Google to practise "Areas Related to Circles" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "Areas Related to Circles" for the exam?+
Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.
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