anonymous
  • anonymous
? A circle is described by the equation . What are the cordinates for the center of the circle and the length of the radius?
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
(-12,-32), 23units (-12,-32), 49units (12,32), 49units (12,32), 23units
mathstudent55
  • mathstudent55
Where is the equation?
anonymous
  • anonymous
(x−12)2+(y−32)2=49.

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anonymous
  • anonymous
thats the equation @mathstudent55
mathstudent55
  • mathstudent55
The equation of a circle with center at (h, k) nad radius r is \(\large (x - h)^2 + (y - k)^2 = r^2\) Compare the equation you were given with the form above. What are your values of h, k, and r?
anonymous
  • anonymous
12, 32, and 49? @mathstudent55
mathstudent55
  • mathstudent55
12 and 32 are correct for h and k, respectively, so the center is (12, 32). Be careful with the radius. The right side has to be written as r^2. Then r is the radius. Your right side is 49. How do you write 49 as the square of something?
anonymous
  • anonymous
7
anonymous
  • anonymous
h= .25 k=2.25 r= .2?
mathstudent55
  • mathstudent55
Correct. \((x−12)^2+(y−32)^2=7^2\) Center: (12, 32) Radius: 7
mathstudent55
  • mathstudent55
I have a question for you. In your choices, you have radius only of 49 and 23. Did your equation have 49 or 49^2 on the right side?
anonymous
  • anonymous
49
anonymous
  • anonymous
thankyou so much though, i got the right answer :D @mathstudent55
mathstudent55
  • mathstudent55
Great.
mathstudent55
  • mathstudent55
You're welcome.

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