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Transcript

  • 1. Measuring Shape and Space Area
  • 2. Area at Level 2
    • Aims; On completion of this section Learners will be able to refer to a list of formulae for the area of regular shapes and select those that they need to calculate the area of a composite shape
  • 3. Area at Level 2
    • Before listening to this section, you may like to be sure of your strengths in
    • Multiplication
    • Names of 2-D shapes
    • Understanding right angles and parallel lines
    • BIDMAS
  • 4. Area at Level 2
    • At level 2 we shall be expected to be able to calculate the area of some composite shapes
    • These are shapes that are made up of
    • Squares
    • Rectangles
    • Triangles
    • Circles
  • 5. Example; Find the Area coloured blue
  • 6. Area at Level 2
  • 7. Formulae for area
    • At level 1 we already know a rectangle has area= length x width
    • We can see from this that a triangle is going to have half the area of the rectangle that surrounds it
    • Area of a triangle=½xbasex height
  • 8. Radius
  • 9. Area at Level 2 Length=6 units Width=5 units Radius=2.5
  • 10. Area at Level 2 Length=6 units Width=5 units A=6x5=30 A=3x 2.5x 2.5=18.75
  • 11. Remember
    • We calculate area in two dimensions, so the area is always given in square units
    • So the answer to the total area shaded blue is given by
    • (6x5)+(0.5x2x2)+(0.5x 3 x2.5x2.5)
    • =43.375 square units
    • When we use pi=3