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Ray Of Light [21]
3 years ago
9

PLZ HELP ASAP FEATURES OF A CIRLE FROM EXPANDED EQUATION

Mathematics
1 answer:
Lana71 [14]3 years ago
8 0
First we need to convert the given equation to standard form, only then we can find the center and radius of the circle.

x^{2} + y^{2} +18x+14y+105=0 \\  \\ 
 x^{2} +18x+ y^{2}+14y=-105 \\  \\ 
 x^{2} +2(x)(9)+ y^{2}+2(y)(7)=-105 \\  \\ 
x^{2} +2(x)(9)+ 9^{2} + [y^{2}+2(y)(7)+7^{2}]  =-105+9^{2}+7^{2}  \\  \\ 
 (x+9)^{2}+ (y+7)^{2}=25  


The standard equation of circle is:

(x-a)^{2} + (y-b)^{2}= r^{2}

with center (a,b) and radius = r

Comparing our equation to above equation, we can write

Center of circle is (-9, -7) and radius of the given circle is 5 
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