Bearings and Scale Factors - Mathematics

  • Created by: v.a..
  • Created on: 18-04-19 14:48

Bearings

  • A bearing is a measure of direction which is measured in degrees clockwise from north.
  • To measure the bearing from A to B, draw a vertical line up from A and label it as North.
  • Then using a protractor measure the angle clockwise from this vertical line to the line between A and B.
  • Bearings are always given as 3 digits:
    • 120°, 030°, 009°.
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Scale Factor and Enlargement

When a shape is enlarged, its lengths are all multiplied by S.

 

  • for length

 

  • for area - When a 2D shape is enlarged by a scale factor S, because all the lengths are multiplied by S, its area will be multiplied by S².

 

  • for volume - When a 3D shape is enlarged by a scale factor S all the lengths are multiplied by S.
  • The areas in the shape will be multiplied by S² and the volumes will be multiplied by S³.
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