What a sector is
A slice of the circle
The region between two radii and the arc joining them.
↳ Two radii and an arc, nothing else.
📚 Chapter Learning Kit
Areas Related to Circles · Class 10 Mathematics
English 2 topics 116 leveled MCQs 44 flashcards 2 games Free
Shared by a Veda teacher · Generated with Veda AI · Sep 2026
⚡ Veda Bites
💡 Key Idea
💡 Key Idea
➗ Formula
💡 Key Idea
⚠️ Common Mistake
➗ Formula
The whole idea, one bite at a time
Veda Bites are swipeable micro-lessons — each one teaches exactly one idea. Here's a taste from this kit; the app has the full deck.
θ over 360
The whole chapter in one fraction
A full turn is 360°, so an angle of θ marks off $\frac{\theta}{360}$ of the circle.
↳ Same slice, same fraction, every time.
A fraction of πr²
Area of a sector
↳ Square units.
What a segment is
Cut with a chord
The region between a CHORD and one of the arcs it cuts off.
↳ One straight edge, not two.
Sector against segment
Not the same thing
↳ Count the straight edges to tell them apart.
Sector minus triangle
The one formula
↳ A segment has no formula of its own.
📖 Smart notes
What you'll study, topic by topic
1
The Sector: Area and Arc Length
A sector is a slice of a circle, and everything about it is that same fraction of the whole. Once you can write the fraction, the area and the arc length write themselves.
- A SECTOR is the region between two radii and the arc joining them.
- The smaller piece is the MINOR sector; the larger is the MAJOR sector.
- Everything about a sector is $\frac{\theta}{360}$ of the whole circle.
~45 min · full explanation, examples & memory tricks in the app
2
The Segment: Sector minus Triangle
A chord cuts a circle into two segments. Neither has a formula of its own — you find one by taking the sector it sits in and removing the triangle underneath it.
- A SEGMENT is the region between a CHORD and one of the arcs it cuts off.
- A SECTOR is bounded by two RADII and an arc; a SEGMENT by a CHORD and an arc.
- Area of the minor segment $=$ area of the sector $-$ area of the triangle.
~50 min · full explanation, examples & memory tricks in the app
❓ Leveled MCQ practice
Try the smart MCQs from this kit
116 questions laddered from warm-up to topper-level, each with an explanation. A taste:
A sector is the region between
Beginner
A two chords
B two radii and the arc joining them
C a chord and an arc
D two tangents
Show answer & explanation
two radii and the arc joining them
Two straight edges and one curved.
The smaller of the two pieces cut off by two radii is the
Beginner
A major sector
B segment
C quadrant
D minor sector
Show answer & explanation
minor sector
Minor means smaller.
A sector of angle $\theta$ is what fraction of the circle?
Beginner
A $\frac{360}{\theta}$
B $\frac{\theta}{360}$
C $\frac{\theta}{180}$
D $\frac{\theta}{2\pi}$
Show answer & explanation
$\frac{\theta}{360}$
A full turn is 360°.
The area of a sector of angle $\theta$ is
Beginner
A $\frac{\theta}{360}2\pi r$
B $\pi r^2$
C $\frac{\theta}{360}\pi r^2$
D $\frac{\theta}{180}\pi r^2$
Show answer & explanation
$\frac{\theta}{360}\pi r^2$
That fraction of the whole area.
🃏 Flashcards
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44 flashcards in this kit — the app reviews them with spaced repetition so the right card returns on the right day.
🎮 Learning games
Play your way through this kit
Every game is built from this kit's own content — scores feed your mastery, so playing counts as studying.
Word Match
True False
Playable in the app
Study it properly — free, in the app
The full Veda Bites deck, complete notes, spaced-repetition flashcards, leveled MCQs, tests and games for this kit — plus Daily Facts and the Arena, every day.