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!