Question 1180922
central angle  {{{pi/6}}} is {{{1/12}}} of the circle in area.
The WHOLE circle CIRCUMFERENCE is {{{12pi}}}, and radius of the whole circle is from {{{2pi*r=12pi}}}, {{{r=6}}};


The sector area is {{{(1/12)pi*6^2}}} which you can simplify, or compute.