2.2 Circles, 2.3 Circles, Circles

Circle: Find General Form from Standard Form

June 10, 2017 admin

Example: Find the general form of the circle

(x-8)^2+(y+6)^2=10^2

Solution:

(x-8)^2+(y+6)^2=10^2

(x-8)(x-8)+(y+6)(y+6)=100

x^2-8x-8x+64+y^2+6x+6x+36=100

x^2-16x+64+y^2+36x+36=100

x^2-16x+y^2+36x+100=100

x^2-16x+y^2+36x+100-100=100-100

x^2-16x+y^2+36x=0

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