Concave vs Convex Polygons – Understand the Difference
June 4, 2024 2025-06-04 14:48Concave vs Convex Polygons – Understand the Difference
Concave vs Convex Polygons – Understand the Difference
Amiya Kumar Concave vs Convex Polygons – Understand the Difference
In geometry, polygons can be classified into two major types based on the measure of their interior angles – Concave and Convex polygons.
1. Concave Polygon
A concave polygon is one that has at least one interior angle greater than 180°. This causes the polygon to appear as if it’s "caving in" at a vertex.
👉 Minimum one angle > 180°
👉 A diagonal can lie outside the polygon.
2. Convex Polygon
A convex polygon has all its interior angles less than 180°. No part of any diagonal lies outside the polygon.
✅ All angles < 180°
✅ Bulges outward at every vertex.
3. Bonus: Sum of Exterior Angles
One powerful and often tested fact:
The sum of exterior angles of any polygon is always:
\[
\text{Sum of exterior angles} = 360^\circ
\]
Whether it’s a triangle, quadrilateral, or decagon — the exterior angles always add up to 360°.
Quick Recap:
- Concave: Has a "dent", one angle > 180°
- Convex: All angles < 180°, smooth outward shape
- Exterior Angles: Always sum to 360°
Useful for:
📚 CAT, SSC, Banking, and all geometry-focused aptitude exams.
Stay curious. Stay geometrical! ✨
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