approximating area under a curve 25 videos

Area of Triangles
Geometry Area
How to derive the area of a triangle formula using the rectangle area formula.
area triangles rectangles altitude 
Area of Parallelograms
Geometry Area
How to find the area of any parallelogram using rectangle area formulas.
area of rectangles base times height 
Area of a Segment
Geometry Area
How to derive the area of a segment formula.
segment sector triangle area radius central angle shaded area 
Area of Circles
Geometry Area
How to derive the formula to calculate the area of a circle.
circle radius circumference area 
Surface Area of Cylinders
Geometry Area
How to prove the surface area of a cylinder formula.
circle lateral area circumference 
Surface Area of Spheres
Geometry Volume
How to calculate the surface area of a sphere given a radius.
sphere surface area radius 
Surface Area of Cones
Geometry Area
How to calculate the surface area of any cone explaining lateral surface area.
cone circle circumference lateral area lateral edge 
Surface Area of Prisms
Geometry Area
How to calculate the surface area of any prism.
prism 3d bases lateral faces lateral area surface area 
Area of a Sector
Geometry Area
How to derive the formula to calculate the area of a sector in a circle.
sector central angle intercepted arc circle radius area 
Similarity and Area Ratios
Geometry Similarity
How to convert between length and area ratios of similar polygons
polygons similar area ratios 
Surface Area of Joined Solids
Geometry Area
How to calculate the surface area of a cylinder joined to a cone.
joined solid cone cylinder lateral area circle 
Surface Area of Pyramids
Geometry Area
How to calculate the surface area of any pyramid, emphasizing regular polygons as bases.
regular polygon lateral area apothem 
Using Sine to Calculate the Area of a Triangle
Geometry Basic Trigonometry
How to calculate the area of any triangle using two sides and an included angle.
area of a triangle sine 
Area of Regular Polygons
Geometry Area
How to derive the formula to calculate the area of a regular polygon.
area apothem side hexagon isosceles triangle perimeter equilateral equiangular 
Area of Trapezoids
Geometry Area
How to derive the area of a trapezoid formula using the area of a rectangle.
trapezoid parallelogram base height 
Area of Kites and Rhombuses
Geometry Area
How to derive the area formula of a kite based on the rectangle formula; how to calculate the area of a rectangle using diagonal lengths.
kite area diagonals consecutive sides vertex angle non vertex angle bisect perpendicular rhombus 
Solving Formulas
Geometry Area
How to strategize about solving formulas for variables; how to solve the area of a rectangle formula for base and height; how to solve the area of a triangle formula for base and for height.
formulas isolating a variable rectangle area triangle area trapezoid area regular polygon area 
Pythagorean Theorem Proofs
Geometry Pythagorean Theorem
How to prove the Pythagorean Theorem using Algebra to show the area of the smaller square plus the area of four triangles is equal to the area of the larger square.
right triangle area of a square binomial squared area of a triangle side leg hypotenuse 
Similarity and Volume Ratios
Geometry Similarity
How to identify if two solids are similar and how to convert 1D ratios to surface area and volume ratios.
similarity volume ratios surface area