Measurement

Description

HSC Maths Mind Map on Measurement, created by Skye Boulton on 03/08/2013.
Skye Boulton
Mind Map by Skye Boulton, updated more than 1 year ago
Skye Boulton
Created by Skye Boulton over 10 years ago
40
1

Resource summary

Measurement
  1. Area and Volume
    1. Simpsons rule

      Annotations:

      • A = h/3 (dF+4dM+dL)
      1. Surface area

        Annotations:

        • Sphere A=4~r^2
        • Cylinder Closed - A=2~rh+2~r^2 Open - A=2~rh+~r^2
        1. Area

          Annotations:

          • Ellipses A=~ab
          • Circle A=~r^2
          1. Accuracy (+or-0.5)
            1. Volume

              Annotations:

              • Prism - V=Ah Cylinder - V = ~r^2 h Pyramid - V=1/3Ah Cone - V=1/3~r^r h Sphere = V=4/3~r^3
            2. Trigonometry
              1. Right-angled Triangles

                Annotations:

                • SOH CAH TOA Pythagoras - c^2=a^2 + ^2
                1. Bearings

                  Annotations:

                  • Charts, maps, diagrams etc Compass Bearings True bearings
                  1. Area of a Triangle

                    Annotations:

                    • A=1/2 bh A=1/2 ab SinC
                    1. Sine Rule

                      Annotations:

                      • a/SinA = b/SinB = c/SinC X
                      • 2 sides & 1 angle or 1 side & 2 angles
                      1. Cosine Rule

                        Annotations:

                        • a^2 = a^2+b^2-2bc Cos A If you know 2 sides & included angle
                      2. Spherical Geometry
                        1. Arc lengths of circles

                          Annotations:

                          • L=*/360 x 2~r
                          1. Geometry of the Earth

                            Annotations:

                            • radius = 6400 km Longitude I Latitude -
                            • 1 NM = 1852 m 1' = 1 NM 1 knot = 1 NM/h
                            • Time zones
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