6 min read
The Picture
Inner circle radius r, outer R. Chord of the outer touches the inner at T. Then OT perp the chord and OT=r, so d=r for every such chord.
Choose Your Level
The Picture
What is it?
Inner circle radius r, outer R. Chord of the outer touches the inner at T. Then OT perp the chord and OT=r, so d=r for every such chord.
In simple words
- Inner circle radius r, outer R.
- d = inner radius
- same centre
- outer chord tangent to inner
Important terms
The Picture: Inner circle radius r, outer R. Chord of the outer touches the inner at T. Then OT perp the chord and OT=r, so d=r for every such chord.
What you should learn
- Define and explain the picture.
- Apply the picture to a focused FBISE question.
- Check the answer for correct terms, evidence, working, and units.
Examples
- d = inner radius
- same centre
- outer chord tangent to inner
CORE UNDERSTANDING
Inner circle radius r, outer R. Chord of the outer touches the inner at T. Then OT perp the chord and OT=r, so d=r for every such chord.
EXAM APPLICATION
State the correct term, connect it to the chapter rule or evidence, and use a clear example or calculation.
Recommended for Class 10
Full school-level explanation
Inner circle radius r, outer R. Chord of the outer touches the inner at T. Then OT perp the chord and OT=r, so d=r for every such chord.
Learn the idea, then use it:
WHAT — THE PICTURE
Inner circle radius r, outer R. Chord of the outer touches the inner at T. Then OT perp the chord and OT=r, so d=r for every such chord.
HOW — Use the idea
Identify what is given, select this topic's rule or evidence, apply it one step at a time, and check the result.
CORE UNDERSTANDING
Inner circle radius r, outer R. Chord of the outer touches the inner at T. Then OT perp the chord and OT=r, so d=r for every such chord.
Remember
- d = inner radius
- same centre
- outer chord tangent to inner
Examples
- d = inner radius
- same centre
- outer chord tangent to inner
- THE PICTURE: Inner circle radius r, outer R. Chord of the outer touches the inner at T. Then OT perp the chord and OT=r, so d=r for e
EXAM APPLICATION
State the correct term, connect it to the chapter rule or evidence, and use a clear example or calculation.
Remember
- correct term
- chapter link
- clear application
Examples
- Define first
- Show the rule or evidence
- Check units, labels, and conclusion
Remember
- d = inner radius
- same centre
- outer chord tangent to inner
- keep the ideas separate
- d = inner radius
- same centre
- outer chord tangent to inner
- correct term
Deeper understanding
Go beyond memorising The Picture. Connect the definition to reasons, relationships, exceptions, and exam wording.
Common mistakes
Exam focus
Core Idea
Key Points
Simple Check
How to Answer
Exam focus
Quick revision
- d = inner radius
- same centre
- outer chord tangent to inner
- keep the ideas separate
- The Picture: Inner circle radius r, outer R. Chord of the outer touches the inner at T. Then OT perp the chord an
- WHAT — THE PICTURE: Inner circle radius r, outer R. Chord of the outer touches the inner at T. Then OT perp the chord an
Do not merge the picture with a neighbouring idea that uses a different definition, rule, or method.
For long answers on The Picture: define clearly → explain the main parts → give one example → state one exam caution.
Exam Focus
Exam Focus
Important points
- d = inner radius
- same centre
- outer chord tangent to inner
- keep the ideas separate
Important formulas
- d = inner radius
- same centre
- outer chord tangent to inner
Common exam traps
- Do not merge the picture with a neighbouring idea that uses a different definition, rule, or method.
- Do not invent a formula, fact, unit, or diagram label that the chapter does not support.
Long question structure
Definition → key parts → example → exam caution
Common Mistakes
Common Mistakes
- Mistake
Do not merge the picture with a neighbouring idea that uses a different definition, rule, or method.
- Mistake
Do not invent a formula, fact, unit, or diagram label that the chapter does not support.
- Mistake
Do not merge the picture with a neighbouring idea that uses a different definition, rule, or method.
Revision Zone
60-Second Revision
Quick cues from this topic — use them for last-minute revision.
d = inner radius
same centre
outer chord tangent to inner
keep the ideas separate
Inner circle radius r, outer R. Chord of the outer touches the inner at T. Then OT perp the chord and OT=r, so d=r for every such chord.
d = inner radius
- Definition
- Inner circle radius r, outer R. Chord of the outer touches the inner at T. Then OT perp the chord and OT=r, so d=r for every such chord.
- Formula
- d = inner radius
- Example
- d = inner radius
- Critical warning
- Do not merge the picture with a neighbouring idea that uses a different definition, rule, or method.
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Exam Practice
Define
Q1. Define The Picture.
Explain
Q2. Explain: CORE UNDERSTANDING.
Example
Q3. Give one clear example of The Picture and say why it fits.
Mistake
Q4. State one common mistake students make about The Picture.
Exam note
Q5. Write a short exam note on The Picture: definition, two points, one example.
Sources & References
School-standard facts for Matric and Intermediate. Original explanations — not copied from textbooks.