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Class 10 · Mathematics

Area of a circle

Interactive explanation Gamified quiz, feedback & rewards

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NCERT chapter connection · Learning goals & preparation

By the end, you can…

  • Explain Sector area = (θ/360)πr²
  • Change one input at a time and predict its effect before checking the model.
  • Apply the relationship in a quiz and explain the reasoning behind your answer.

Useful preparation: Basic arithmetic, fractions and reading simple diagrams. Suggested previous stop: Arithmetic progressions.

Mathematics · Areas Related to Circles
NCERT published contents reference. This activity explores part of the chapter; it does not replace the textbook. Open official NCERT reference ↗

Interactive exploration · Class 10

Area of a circle

Class 10
Sector area (cm²)08817626435215.510Radius r (cm)Sector angle θ (°) held at 360 · scale adjusts to values
The relationshipSector area = (θ/360)πr²
01 · How to explore

Make the idea your own

  1. 1Read the inputs and predict what will change.
  2. 2Change one parameter while keeping the other fixed.
  3. 3Explain the result using the diagram and the live values.
02 · Take it further

Notice the pattern

At 360° the sector is the whole circle.