Measurement

Skye Boulton
Mind Map by , created about 6 years ago

HSC Maths Mind Map on Measurement, created by Skye Boulton on 08/03/2013.

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Skye Boulton
Created by Skye Boulton about 6 years ago
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Measurement
1 Area and Volume
1.1 Simpsons rule

Annotations:

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

Annotations:

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

Annotations:

  • Ellipses A=~ab
  • Circle A=~r^2
1.4 Accuracy (+or-0.5)
1.5 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
2.1 Right-angled Triangles

Annotations:

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

Annotations:

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

Annotations:

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

Annotations:

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

Annotations:

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

Annotations:

  • L=*/360 x 2~r
3.2 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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