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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