anonymous
  • anonymous
show that the area of a circle x^2+y^2=a^2 is pi a^2
Mathematics
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SOLVED
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katieb
  • katieb
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shubhamsrg
  • shubhamsrg
what is the radius of the circle : x^2 + y^2 = a^2 ??
anonymous
  • anonymous
solve for y and get y = sqrt(a^2-x^2) <- equation for a semi circle integrate this from -a to a |dw:1352793815172:dw| once you integrate it you will get \[\Pi a^2 / 2 \] since you found the area of a semicircle multiply it by 2 to get the area of the circle which is \[\Pi a^2\]
anonymous
  • anonymous
thanks jayz657 @shubhamsrg the r is not given its just proving if the area of circle given equals pi a^2

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anonymous
  • anonymous
np glad to help

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