Class 10 Maths — Chapter 11: AREAS RELATED TO CIRCLES
Free AI tutor + NCERT notes for Chapter 11: AREAS RELATED TO CIRCLES. 7 topics covered. Ask any question by voice or text in Hindi or English.
What you'll learn
- ▸Sectors and Segments of a Circle
- ▸Formula for Area of a Sector
- ▸Formula for Length of an Arc
- ▸Calculating Area of a Segment
- ▸Finding the Area of the Triangle within a Sector
- ▸Areas of Major Sectors and Segments
- ▸Problem Solving with Sectors and Segments
Chapter Summary
--- PAGE 1 --- 1062CH12 11 AREAS RELATED TO CIRCLES 11.1 Areas of Sector and Segment of a Circle You have already come across the terms sector and segment of a circle in your earlier classes. Recall that the portion (or part) of the circular region enclosed by two radii and the corresponding arc is called a sector of the circle and the portion (or part) of the circular region enclosed between a chord and the corresponding arc is called a segment of the circle. Thus, in Fig. 11.1, shaded region OAPB is a sector of the circle with centre O. ∠ AOB is called the angle of the sector. Note that in this figure, unshaded region OAQB is also a sector of the circle. For obvious reasons, OAPB is called the minor sector and OAQB is called the major sector. You can also see that angle of the major sector is 360° – ∠ AOB. Major …
Practice Questions from this Chapter
Tap "Get Solution" on any question to ask our AI tutor.
- Illustrate a real-world circular segment. Get Solution →
- Explain Pi's role in circle area. Get Solution →
- Calculate area of pizza slice. Get Solution →
- What is the portion of a circular region enclosed by two radii and the corresponding arc called? Get Solution →
- What is the portion of a circular region enclosed between a chord and the corresponding arc called? Get Solution →
- Which formula represents the area of a sector with angle θ in degrees and radius r? Get Solution →
- What is the formula for the length of an arc of a sector with angle θ in degrees and radius r? Get Solution →
- If the angle of a minor sector is θ, what is the angle of the corresponding major sector? Get Solution →
Did you know?
- 💡 Ancient Egyptians used an early estimate of Pi for building and engineering projects.
- 💡 Raindrops form perfect spheres in zero gravity because of surface tension.
- 💡 The value of Pi is an infinite, non-repeating decimal, stretching forever.
- 💡 Stonehenge, an ancient monument, has circular layouts based on astronomical observations.
- 💡 Circles are the strongest geometric shapes for distributing pressure evenly.
Frequently Asked Questions
How many topics are covered in this chapter?
This chapter covers 7 key topics: Sectors and Segments of a Circle, Formula for Area of a Sector, Formula for Length of an Arc, Calculating Area of a Segment, Finding the Area of the Triangle within a Sector, and more. The BrainWeave AI tutor explains each one with examples.
Is Chapter 11: AREAS RELATED TO CIRCLES important for board exams?
Yes — Class 10 is a CBSE board exam year, and every NCERT chapter is part of the syllabus. Use BrainWeave's AI tutor to master this chapter, then practice with the auto-generated quizzes and mind maps.
Can I get NCERT solutions for this chapter in Hindi?
Yes. BrainWeave's AI tutor supports Hindi, English, and Hinglish for both voice and text chat. Just ask your question in your preferred language.
Is BrainWeave free for Class 10?
Yes. BrainWeave's free Spark plan gives generous daily messages — enough for regular homework. Premium features unlock when you bring your own free Google Gemini API key.
Can I use voice chat for this chapter?
Absolutely. Tap the mic, ask any question about Chapter 11: AREAS RELATED TO CIRCLES, and the AI tutor will explain it back in voice and text.
How is BrainWeave better than static NCERT solutions sites?
Static solution sites give the same answer to everyone. BrainWeave adapts to your question — ask "explain like I'm 12" or "give a real-world example" and get a personalized response. Voice mode and Hindi support work seamlessly.
Related Chapters
Ask Any Question About Chapter 11: AREAS RELATED TO CIRCLES
Voice or text. Hindi or English. Free to start. No signup required.
Start Now →