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  • 22-06-2021
  • Mathematics
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1. What is the center and radius of the given circle (x – 3)² + (y + 8)² = 39?

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ivycoveredwalls
ivycoveredwalls ivycoveredwalls
  • 22-06-2021

Answer:

Center (3, -8), radius = [tex]\sqrt{39}[/tex]

Step-by-step explanation:

The Standard Form for the equation of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

The center is the point (h, k) and the radius is r.

Match up the given equation with the standard form.

[tex](x-h)^2=(x-3)^2 \rightarrow h=3\\(y-k)^2=(y+8)^2 \rightarrow k=-8[/tex]

That last bit can be tricky, k = -8, not 8.  Watch the signs!

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