How to derive the formula to calculate the area of a regular polygon.
How to calculate the surface area of any pyramid, emphasizing regular polygons as bases.
How to define the apothem and center of a polygon; how to divide a regular polygon into congruent triangles.
How to convert between length and area ratios of similar polygons
How to define a polygon, how to distinguish between concave and convex polygons, how to name polygons.
How to find the measure of one angle in any equiangular or regular polygon.
Naming polygons, classifying triangles, and classifying quadrilaterals
How to determine the number of diagonals in a polygon.
How to derive the area of a triangle formula using the rectangle area formula.
How to find the area of any parallelogram using rectangle area formulas.
How to derive the area of a segment formula.
How to find the sum of the exterior angles in a polygon and find the measure of one exterior angle in an equiangular polygon.
How to derive the formula to find the sum of angles in any polygon.
How to derive the formula to calculate the area of a circle.
How to compute the area of a parallelogram using a determinant.
How to define circumscribed and inscribed circles and polygons relative to each other.
How to prove the surface area of a cylinder formula.
How to calculate the surface area of a sphere given a radius.
How to use definite integrals to find the area between a curve or under a curve.
How to calculate the surface area of any cone explaining lateral surface area.