"Huge" of course. Really huge.
Much larger than the area it was focusing the light on. Presumably the mirror would have to be held open by something, given its size it would have to be very thin and likely its edges would be weighed and the force would be provided by spin, the spin would hold it open with its inertia.
It would also perhaps have the effect of a solar sail. Would the solar wind - like a conventional sail, displace the center more? - creating a concave mirror shape- I don't know, the calculation requires knowledge of the force and the relative elasticity of the silvery material and its mass, but having read extensively about the feasibility of creating parabola by various means in space, it sounds much more feasible than many other methods.
Its been a while since I went looking for that kind of info but indeed, it is possible to make parabola by methods similar to that on a much smaller scale. Physical forces often create beautiful, mathematically perfect shapes in microgravity.
I am not a celestial mechanics type guy, not even close so I don't know if the force of the suns light and charged particles would make it concave or not, but it seems at least slightly plausible, more plausible than it remaining totally flat or being convex in relationship to the Earth while a solar wind was blowing on it from its 'front'. It is a mirror, right? or is it white?
Wouldn't it be a disaster if they put it up there painted white but the paint started to flake off, (Lots of UV light up there, right!?) making it progressively more mirror like?
If the beam of light did in fact sweep across the earth, that would be terrible. But I suppose the force being exerted on it by the sun would eventually propel it far enough from the Earth to no longer be a threat. And perhaps eventually out into interstellar space. If it remained oriented in the proper plane to catch the suns rays at its center.
Hopefully we are not that stupid a planet to do something like that to ourselves.
However, it would make a good "B" movie plot.