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Area of a circle  =    R 2   ( Proof )
Rearrange the wedges to make a rectangle
The more wedges there are, the better. Rearrange the wedges to make a rectangle
Area of a rectangle  =  width x height Half a circumference Half a diameter
Area of a rectangle  =  width x height =  ( Half diameter )  x  ( Half circumference ) Half a circumference Half a diameter
Area of a rectangle  =  width x height =  ( Half diameter )  x  ( Half circumference ) =  ½  D  x  ½ (   D) Half a circu...
Area of a rectangle  =  width x height =  ( Half diameter )  x  ( Half circumference ) =  ½  D  x  ½ (   D) =     D 2  ...
Area of a rectangle  =  width x height =  ( Half diameter )  x  ( Half circumference ) =  ½  D  x  ½ (   D) =     D 2  ...
Area of a rectangle  =  width x height =  ( Half diameter )  x  ( Half circumference ) =  ½  D  x  ½ (   D) =     D 2  ...
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Area Of Circle Proof

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Area of a circle - proof

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Transcript of "Area Of Circle Proof"

  1. 1. Area of a circle =  R 2 ( Proof )
  2. 2. Rearrange the wedges to make a rectangle
  3. 3. The more wedges there are, the better. Rearrange the wedges to make a rectangle
  4. 4. Area of a rectangle = width x height Half a circumference Half a diameter
  5. 5. Area of a rectangle = width x height = ( Half diameter ) x ( Half circumference ) Half a circumference Half a diameter
  6. 6. Area of a rectangle = width x height = ( Half diameter ) x ( Half circumference ) = ½ D x ½ (  D) Half a circumference Half a diameter
  7. 7. Area of a rectangle = width x height = ( Half diameter ) x ( Half circumference ) = ½ D x ½ (  D) =  D 2 / 4 Half a circumference Half a diameter
  8. 8. Area of a rectangle = width x height = ( Half diameter ) x ( Half circumference ) = ½ D x ½ (  D) =  D 2 / 4 =  ( D / 2 ) 2 Half a circumference Half a diameter
  9. 9. Area of a rectangle = width x height = ( Half diameter ) x ( Half circumference ) = ½ D x ½ (  D) =  D 2 / 4 =  ( D / 2 ) 2 =  R 2 Half a circumference Half a diameter
  10. 10. END

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