Square: P = 4s Circle: C = πd = 2πr Perimeter Rectangle: P = 2l + 2w Ellipse: Triangle: P = a + b + c Square: A = s² Triangle: A = ½ bh Frustum: Rectangle: A = lw Triangle: A = ½ ab sin(C) Rhombus: A = ½ ab Circle: A = πr² Area Parallelogram: A = bh Triangle: Circular Sector: A = ½ r² Trapezoid: Equilateral Triangle: Ellipse: A = πab Kite: Lateral Cylinder: S = 2πrh Surface Cone: S = πrl Area Cube: S = 6s² Sphere: S = 4πr² Total Rectangular Box: S = 2lw + 2wh + 2hl Ellipsoid: S = (too complex) Surface Regular Tetrahedron: S = 2bh Area Cylinder: S = 2πr (r + h) Cone: S = πr² + πrl = πr (r + l) Cube: V = s³ Rectangular Prism: V = lwh Cylinder: V = πr²h Sphere: Volume Triangular Prism: V= Bh Ellipsoid: V = πabc bh ⅓ Tetrahedron: V= ⅓ Pyramid: V = Bh ⅓ ⅓ Cone: V = bh = πr²h
Perimeter Square: P = 4s Rectangle: P = 2l + 2w Triangle: P = a + b + c Circle: C = πd = 2πr Ellipse: Area Square: A = s² Rectangle: A = lw Rhombus: A = ½ ab Parallelogram: A = bh Trapezoid: Kite: Triangle: A = ½ bh Triangle: A = ½ ab sin(C) Triangle: Equilateral Triangle: Frustum: Circle: A = πr² Circular Sector: A = ½ r² Ellipse: A = πab Lateral Surface Area Cylinder: S = 2πrh Cone: S = πrl Total Surface Area Cube: S = 6s² Rectangular Box: S = 2lw + 2wh + 2hl Regular Tetrahedron: S = 2bh Cylinder: S = 2πr (r + h) Cone: S = πr² + πrl = πr (r + l) Sphere: S = 4πr² Ellipsoid: S = (too complex) Volume Cube: V = s³ Rectangular Prism: V = lwh Cylinder: V = πr²h Triangular Prism: V= Bh Tetrahedron: V= ⅓ bh Pyramid: V = ⅓ Bh Cone: V = ⅓ bh = ⅓ πr²h Sphere: Ellipsoid: V = πabc
Harolds_Precalculus_Cheat_Sheet_2017.docx