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Akimi4 [234]
3 years ago
15

The point (- 3, 6) is on a circle with a center at (2, 3) What is the equation of the circle?

Mathematics
1 answer:
anzhelika [568]3 years ago
5 0

Answer:

(x - 2)^{2} + (y - 3)^{2} = 36 is the equation of the circle

Step-by-step explanation:

(x - h)^{2} + (y - k)^{2} = r^{2}   where (h, k) is the center and r is the radius

In this case h = 2 and k = 3 and r = 6 (see below)

r adius =

\sqrt{(2 + 3)^{2} + (3 - 6)^{2}  } \\= \sqrt{5^{2} + (-3)^{2} } \\= \sqrt{25 + 9\\}\\ = \sqrt{36}  = 6

Therefore,  (x - 2)^{2} + (y - 3)^{2} = 36 is the equation of the circle

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