\kappa Andromedae , an early type star that hosts a directly imaged low mass companion , is expected to be oblate due to its rapid rotational velocity ( v \sin i = \sim 162 \mathrm { km~ { } s ^ { -1 } } ) .
We observed the star with the CHARA Array ’ s optical beam combiner , PAVO , measuring its size at multiple orientations and determining its oblateness .
The interferometric measurements , combined with photometry and this v \sin i value are used to constrain an oblate star model that yields the fundamental properties of the star and finds a rotation speed that is \sim 85 % of the critical rate and a low inclination of \sim 30 ^ { \circ } .
Three modeled properties ( the average radius , bolometric luminosity , and equatorial velocity ) are compared to MESA evolution models to determine an age and mass for the star .
In doing so , we determine an age for the system of 47 ^ { +27 } _ { -40 } Myr .
Based on this age and previous measurements of the companion ’ s temperature , the BHAC15 evolution models imply a mass for the companion of 22 ^ { +8 } _ { -9 } M _ { \mathrm { J } } .