How to Calculate the Area of Regular Polygons
The area of a regular polygon is half the apothem times the perimeter. The apothem is the distance from the center to the middle of a side, and that formula works because the polygon splits into identical triangles. Regular Triangle (Equilateral): Area (A = frac{sqrt{3}}{4} times text{side}^2) Regular Quadrilateral (Square): Area (A = text{side}^2) Regular […]
Unlocking the Secrets of Inscribed Polygons
An inscribed angle has its vertex on the circle, and it measures exactly half the arc it intercepts. That half relationship is why every angle inscribed in a semicircle is a right angle. Inscribed Polygon: A polygon is said to be inscribed in a circle if all its vertices lie on the circle. The circle […]
