If UY Scuti's radius were $1,708 R_{\odot}$, where might its photosphere extend in our solar system?
Answer
Beyond the orbit of Mars, possibly reaching the asteroid belt
When UY Scuti's radius is estimated at the higher figure of $1,708$ times that of the Sun ($R_{\odot}$), the resulting size is colossal. If this size were substituted for the Sun in our solar system, the star's outer surface, known as the photosphere, would expand outward significantly. This expansion is large enough to encompass the orbits of Mercury and Venus, and extend well past the orbit of Mars, potentially reaching into the region occupied by the main asteroid belt. This illustrates the extreme physical dimensions associated with the early, larger estimates for this red supergiant.

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