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I think this is a poor-quality question and I don't agree with the explanation. Why do we absolutely have to consider that the line used to calculate the shortest distance passes through the center?

The question is correct.

In Euclidean geometry, the distance from a point to a line is the shortest distance from a given point to any point on an infinite straight line. It is the perpendicular distance of the point to the line, the length of the line segment which joins the point to nearest point on the line.
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I think this is a high-quality question and I agree with the explanation.
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why is radius square rooted Bunuel.....?
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why is radius square rooted Bunuel.....?

In an x-y coordinate system, the circle with center (a, b) and radius r is the set of all points (x, y) such that:

\((x-a)^2+(y-b)^2=r^2\)

So, the circle represented by the equation \(x^2+y^2 = 1\) is centered at the origin and has the radius of \(r= \sqrt{1}=1\).
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I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
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I think this is a high-quality question and I agree with explanation.
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I think this is a high-quality question and I agree with explanation.
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