# A planet is at a distance of $8.427 \times 10^8 \;km$ from earth. Its angular diameter $=35.72''$ of an arc. Calculate diameter of planet.
$\begin{array}{1 1} (a) \;1.425 \times 10^5\;km \\ (b) \;2.426 \times 10^5\;km \\ (c) \;1.526 \times 10^5\;km \\ (d) \;1.726 \times 10^5\;km \end{array}$