Angles, Shapes andTrigonometry

Angles, Shapes andTrigonometry

1. Shapes

   • Area of 2D shapes
     • Square-Length x width
     • Triangle- Half the base x height
     • Trapezium- (a+b/2)xh
     • Kite-p x q/2
   • Volume of 3D shapes
     • Cuboid-length x width x height
     • Sphere- 4πr2
     • Prism- base area x height
     • Pyramid- Length x width x height 3

2. Triganometry

   • For working out the missing side_SOH-CAH-TOA
     • Sin- SOH
     • Cos-CAH
     • Tan-TOA
   • Sides of a triangle
     • Hypotenuse-Longest side
     • Adjacent-Remaining side
     • Opposite- side opposite missing angle or side
   • Formula
     • A2 + B2 = C2
     • C2 - B2 = A2
     • C2 - A2 = B2

3. Angles

   • Triangle- Add up to 180
   • Angles on a straight line add up to 180
   • Angles in a quadrilateral add up to 360
   • The sum of all the internal angles of a simple polygon is 180(n–2)° where n is the number of sides.
     • Pentagon-540
     • Square-360
     • Triangle-180
     • Hexagon-720
     • Octagon-1080
     • Heptagon-900
     • Decagon-1440
     • Nonagon-1260