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joelmwa

  • 2 years ago

show that the area of a circle x^2+y^2=a^2 is pi a^2

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  1. shubhamsrg
    • 2 years ago
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    what is the radius of the circle : x^2 + y^2 = a^2 ??

  2. jayz657
    • 2 years ago
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    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 \[\Pi a^2\]

  3. joelmwa
    • 2 years ago
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    thanks jayz657 @shubhamsrg the r is not given its just proving if the area of circle given equals pi a^2

  4. jayz657
    • 2 years ago
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    np glad to help

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