# regular polygon area   55 videos

• #### Area of Regular Polygons

##### GeometryArea

How to derive the formula to calculate the area of a regular polygon.

area apothem side hexagon isosceles triangle perimeter equilateral equiangular
• #### Surface Area of Pyramids

##### GeometryArea

How to calculate the surface area of any pyramid, emphasizing regular polygons as bases.

regular polygon lateral area apothem
• #### Center and Apothem of Regular Polygons

##### GeometryArea

How to define the apothem and center of a polygon; how to divide a regular polygon into congruent triangles.

center circumscribed circle inscribed polygon isosceles triangle regular hexagon
• #### Similarity and Area Ratios

##### GeometrySimilarity

How to convert between length and area ratios of similar polygons

polygons similar area ratios
• #### Polygons

##### GeometryGeometry Building Blocks

How to define a polygon, how to distinguish between concave and convex polygons, how to name polygons.

polygon closed figure side segment vertex convex concave diagonal
• #### Equiangular Polygon Sums

##### GeometryPolygons

How to find the measure of one angle in any equiangular or regular polygon.

equiangular regular congruent triangles sum
• #### Polygons

##### Pre-AlgebraIntroductory Geometry

Naming polygons, classifying triangles, and classifying quadrilaterals

• #### Number of Diagonals in a Polygon

##### GeometryReasoning, Diagonals, Angles and Parallel Lines

How to determine the number of diagonals in a polygon.

vertex diagonal non consecutive vertices polygon
• #### Area of Triangles

##### GeometryArea

How to derive the area of a triangle formula using the rectangle area formula.

area triangles rectangles altitude
• #### Area of Parallelograms

##### GeometryArea

How to find the area of any parallelogram using rectangle area formulas.

area of rectangles base times height
• #### Area of a Segment

##### GeometryArea

How to derive the area of a segment formula.

• #### Exterior Angles of a Polygon

##### GeometryPolygons

How to find the sum of the exterior angles in a polygon and find the measure of one exterior angle in an equiangular polygon.

exterior angle sum of angles equiangular polygon
• #### Polygon Angle Sum

##### GeometryPolygons

How to derive the formula to find the sum of angles in any polygon.

triangle angle sum diagonal polygon
• #### Area With Determinants

##### PrecalculusSystems of Linear Equations and Matrices

How to compute the area of a parallelogram using a determinant.

parallelogram vectors determinant area
• #### Area of Circles

##### GeometryArea

How to derive the formula to calculate the area of a circle.

• #### Circumscribed and Inscribed Circles and Polygons

##### GeometryConstructions

How to define circumscribed and inscribed circles and polygons relative to each other.

vertex radius polygon inscribed circle circumscribed
• #### Surface Area of Cylinders

##### GeometryArea

How to prove the surface area of a cylinder formula.

circle lateral area circumference
• #### Surface Area of Spheres

##### GeometryVolume

How to calculate the surface area of a sphere given a radius.

• #### Definite Integrals and Area

##### CalculusThe Definite Integral

How to use definite integrals to find the area between a curve or under a curve.

definite integral area problems area between curves
• #### Surface Area of Cones

##### GeometryArea

How to calculate the surface area of any cone explaining lateral surface area.

cone circle circumference lateral area lateral edge