Bearings and Scale Factors - Mathematics

• 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°.

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.