Geometrical Tutorial - Proof that the radius of the inscribed circle is r = a√3/6

🔺 INSCRIBED CIRCLE IN AN EQUILATERAL TRIANGLE | Step-by-Step Proof of r = a√3/6
Welcome to this exciting Mathematics tutorial where we carefully prove the formula for the radius of an inscribed circle (incircle) inside an equilateral triangle.
If you have ever wondered how the radius of the circle inside an equilateral triangle is related to the side length a, this lesson provides a complete and easy-to-follow explanation.
In this video, we prove step-by-step that: r = a√3/6
where:
✅ r = radius of the inscribed circle (inradius)
✅ a = side length of the equilateral triangle
This tutorial is designed to help students understand the relationship between Geometry, triangle properties, and circle theorems using clear mathematical reasoning and simple illustrations.
📚 What you will learn in this video:
✔ Meaning of an inscribed circle (incircle)
✔ Properties of an equilateral triangle
✔ How the center of the incircle is formed
✔ Using triangle geometry to derive the formula
✔ Step-by-step proof of the inradius formula
✔ Geometrical reasoning made simple and easy to understand
This lesson is highly useful for students preparing for:
🎓 Secondary School Mathematics
🎓 High School Geometry
🎓 GCSE / IGCSE Mathematics
🎓 WAEC Mathematics
🎓 GCE Mathematics
🎓 Competitive and entrance examinations
🎓 General Geometry revision and problem solving
Whether you are a beginner learning Geometry or a student revising for examinations, this video breaks down the proof into simple steps that are easy to follow and remember.
If you enjoy clear and detailed Mathematics explanations, be sure to:
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Видео Geometrical Tutorial - Proof that the radius of the inscribed circle is r = a√3/6 канала Understanding Mathematics Academy