Area of a circle

  • Thread starter repugno
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  • #1
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Hello all. Where can I find proof that the area of a circle can be calculated using the formula πr2? Any response will be greatly appreciated, thank you.
 

Answers and Replies

  • #2
I believe it can be done using a limit process. Cut the circle into n equal triangles and take the limit as n goes to infinity.
 
  • #3
HallsofIvy
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And, of course, the area of a circle of radius R, with center at the origin of a coordinates system is the integral
∫-RR2√(R2- x2)dx. That gives πR2 as the area.
 

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