What is the radius length of the circle with equation

Marvin Mccormick 2021-08-06 Answered
What is the radius length of the circle with equation x2+y2x+y4=0?
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Expert Answer

doplovif
Answered 2021-08-07 Author has 71 answers
The standard equation of a circle with center (h,k) and radius rr is given by: (xh)2+(yk)2=r2
So, we write the given in this form.
Isolate the constant and group the x’s and y’s:
(x2x)+(y2+y)=4
Complete the square:
((x2)x+(12)2)+((y2+y+1(12)2)=4+(12)2+(12)2
(x(12))+(y+(12))2=4+14+14
(x(12))2+(y+12)2=184
Hence, we can solve for the radius rr by writing: r2=184
r=182
r=322
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