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Find the area of the region satisfying the inequality x^2 + y^2 <= 4x + 6y + 13 - 2x + 10y + 15.

 Sep 9, 2021
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= x ^2 -2x    + y^2 -16y  <= 28      complete the square for x and y

(x-1)^2        + (y-8)^2   <= 28 +1 + 64

 

THIS IS A CIRCLE WHERE r^2 = 93               area = 93pi

 Sep 9, 2021

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