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Mars2501 [29]
2 years ago
13

What is the equation of the circle with center (0, 0) that passes through the point (–4, –6)?

Mathematics
1 answer:
Vadim26 [7]2 years ago
4 0

If the center is in point P(a,b) and has a radius r then circle equation is:

(x-a)²+(y-b)²=r².

In your task we've got P(0,0) so the circle equation is x²+y²=r².

We have to find r. Radius start at (0,0) and end at (-4,-6) therefore

r=√((-4)²+(-6)²) and

r²=(-4)²+(-6)²=16+36=52.

So answer is x²+y²=52.

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