Geometry and Trigonometry

Area & Perimeter / Surface Area & Volume: Area of a rectangle

A=lw

Area & Perimeter / Surface Area & Volume: Perimeter of basically anything

add all sides up

Area & Perimeter / Surface Area & Volume: Triangle area

A = \tfrac{1}{2}bh.

Area & Perimeter / Surface Area & Volume: Circle area

A = \pi r^2

Area & Perimeter / Surface Area & Volume: Circle circumerence

C = 2\pi r.

Area & Perimeter / Surface Area & Volume: Rectangle prism - volume

V = lwh

Area & Perimeter / Surface Area & Volume: Pyramid - vol

V=\tfrac{1}{3}Bh

Area & Perimeter / Surface Area & Volume: Pyramid - vol - slant-height via a²+b²=c²

s = \sqrt{h^2 + r^2}.

Area & Perimeter / Surface Area & Volume: Vol Right circular cylinder

V = \pi r^2 h.

Area & Perimeter / Surface Area & Volume: Hollow cylinder - vol

V = \pi (R^2 - r^2)h.

Area & Perimeter / Surface Area & Volume: Right circular cone - vol

V = \tfrac{1}{3}\pi r^2 h.

Area & Perimeter / Surface Area & Volume: Sphere - vol

V = \tfrac{4}{3}\pi r^3 .

Fundamental Angle Facts 1

Angles on a line sum to 180^{\circ}

Fundamental Angle Facts 2

Vertical angles are congruent.

Fundamental Angle Facts 3

Interior angles of any triangle sum to 180^{\circ}

Pythagorean Theorem

Right triangle relationship: a^2 + b^2 = c^2.

Special Right Triangles: 45-45-90

1:1:\sqrt{2}

Special Right Triangles: 30-60-90

1:\sqrt{3}:2 .

Special Right Triangles: 3 - 4

5

Special Right Triangles: 6 - 8

10

Special Right Triangles: 5 - 12

13

Special Right Triangles: 7 - 24

25

Special Right Triangles: 8 - 15

17

Circle equation

(x-h)^2 + (y-k)^2 = r^2

Circle Angle & Sector Facts: Inscribed angle measure

half its intercepted arc measure

Circle Angle & Sector Facts: Arc length for central angle

\theta^{\circ}: L = \tfrac{\theta}{360} \cdot 2\pi r.

Circle Angle & Sector Facts: Sector area

A = \tfrac{\theta}{360} \cdot \pi r^2.