Share your proof or solution in the comments below.
Target Audience: K-12, Honors Geometry, and College Mathematics Education.
Two perpendicular chords partition a circle of radius R into four consecutive regions. Prove that the sum of the areas of non-adjacent regions is invariant.
Explore the full theorem and illustrated diagrams by clicking the image below.
Target Audience: K-12, Honors Geometry, and College Mathematics Education.
Two perpendicular chords partition a circle of radius R into four consecutive regions. Prove that the sum of the areas of non-adjacent regions is invariant.
Explore the full theorem and illustrated diagrams by clicking the image below.
Click for additional details and full diagram.
Proposed Solution
We invite students, teachers, and math enthusiasts to share their insights using synthetic geometry or classical circle properties.
How to contribute:
Post your step-by-step proof in the comments below:
We invite students, teachers, and math enthusiasts to share their insights using synthetic geometry or classical circle properties.
How to contribute:
Post your step-by-step proof in the comments below:
- Describe the theorems applied.
- Share a link to your dynamic construction (GeoGebra, Desmos).
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Please use the box below to Enter your Comment or Solution. You can use plain text or provide links to your digital proofs.
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