Find the cicumference of the circle x²+y²-12x+10y+15=0 pls help me to understand this question.

Circumference of circle
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All we need is the radius.

Rewrite the equation:

x^2-12x+36 + y^2+10y+25+15-(36+25)=0 (completing the squares).

(x-6)^2+(y+5)^2=61-15=46=r^2 where r is the radius. The centre of the circle is (6,-5).

The circumference is therefore 2(pi)r=2(pi)sqrt(46)=42.61 approx.
by Top Rated User (1.2m points)

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