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Brahmagupta’s Formula for the Area of a Cyclic 4-gon
Last updated at May 31, 2026 by Teachoo
Brahmagupta’s Formula for the Area of a Cyclic 4-gon
Class 9
Chapter 6 Class 9 - Measuring Space: Perimeter and Area (Ganita Manjar
- Definition (and Quesitons)
- Perimeter of Different Shapes
- Perimeter of a Circle - C/D Ratio
- Pi is Irrational
- Length of an Arc of a Circle
- Problems, Puzzles, and Paradoxes on Perimeter
- Exercise Set 6.1
- Area of Square & Rectangle
- Area of a Parallelogram
- Area of a Triangle
- Heron's Formula
- Circumcircle and Incircle of a Triangle
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Brahmagupta’s Formula for the Area of a Cyclic 4-gon
- Squaring a Rectangle
- Exercise Set 6.2
- Area of a circle
- Exercise Set 6.3
- End-of-Chapter Exercises
Transcript
Brahmagupta’s Formula for the Area of a Cyclic 4-gon A 4-gon means a Quadrilateral Ancient Indian mathematician Brahmagupta discovered that for a cyclic 4-gon (i.e. a cyclic quadrilateral) with sides a, b, c, d " Area "=√((𝒔−𝒂)(𝒔−𝒃)(𝒔−𝒄)(𝒔−𝒅)) Where Semi-perimeter = 𝒔=(𝒂 + 𝒃 + 𝒄 + 𝒅)/𝟐 Let’s do some examples
