Write the standard equation of the circle with center (2, 3) and a diameter of 12.
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OpenStudy (anonymous):
@mathstudent55
OpenStudy (anonymous):
Hi give me a min
OpenStudy (anonymous):
(x-2)^2+(y-3)^2=6
this is because the equation is (x-h)^2+(y-k)^2=r
OpenStudy (anonymous):
h is the x point
OpenStudy (anonymous):
k is the y point and the r is the raidus
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OpenStudy (anonymous):
go it?
OpenStudy (anonymous):
yes thank you! can I ask you another question?
OpenStudy (anonymous):
sure make another post
OpenStudy (anonymous):
1. The equation of a circle is (x + 7)2 + (y + 2)2 = 49. Determine the length of the diameter.
2. The equation of a circle is (x + 3)2 + (y + 7)2 = 25. Where is (3, 4) located in relation to the circle?
Answer
A. On the circle
B. In the interior of the circle
C. In the exterior of the circle
D. at the center of the circle
I had 2 questions lol
OpenStudy (anonymous):
1. Since 49 is the radius to find the diameter it is just 49*2
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OpenStudy (anonymous):
Number 1 only gives me the anwsers
A. 7
B. 49
C. 9
D. 14
OpenStudy (anonymous):
hold on
OpenStudy (anonymous):
silly me the last part is r^2
OpenStudy (anonymous):
so it is √(49)*2
OpenStudy (anonymous):
so 7?
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OpenStudy (anonymous):
also the first question is 36 not 6
OpenStudy (anonymous):
no since 7 is the radius
OpenStudy (anonymous):
the diameter is r*2 so it is 14
OpenStudy (anonymous):
also remember the first question that i did with you it is not 6 it is 36 for r
OpenStudy (anonymous):
okay thank you! what about the other question I asked?
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OpenStudy (anonymous):
ok give me a second
OpenStudy (anonymous):
i was going to draw it
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
OpenStudy (anonymous):
so the a is the (3,4)
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OpenStudy (anonymous):
so that would make it interior b/c its smaller then (3,7)?
OpenStudy (anonymous):
the circle is negative because the circle equation is (x-h)^2+(y-h)^2=r^2 not (x+h)^2+(y+h)^2=r^2
OpenStudy (anonymous):
then exterior?
OpenStudy (anonymous):
no it would be exterior since it is outside of the circle
OpenStudy (anonymous):
ohh i get
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