Q:  Assuming this star emits like a blackbody,
      figure out its radius in meters.
      Then compare it to the size of the Sun
      (which has radius roughly 700,000 km).


            The star has luminosity L(star) = 1.6 x 10^(24) W,
            and temperature T = 10,000 K.  We plug in:

                               (        1.6 x 10^(24) W      )
               R     =    sqrt ( --------------------------- )
                               (  4 pi sigma * (10,000 K)^4  )

            where sigma = 5.67 x 10(-8) W/sq.m-K^4.

 
                     =    15,000,000 m   =  15,000 km


            So this is very small compared to the Sun:
            about 0.021 times the solar radius.
            It is only about twice as big as the Earth!