Question 180305
The radius of circle O and the measure of central angle O are given.
r=6; measure of angle O=30 
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Assuming it's 30 degrees, that's 1/12 of the whole circle.
The area of the sector is 1/12 of the area of the circle, and the length of the arc is 1/12 of the circumference.

a) Find the exact area of the sector determined by the central angle. 
{{{A = pi*r^2/12}}}
{{{A = 36pi/12}}}
Area =~ 9.425 square units
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b) Find the exact length of the intercepted arc.
Arc = 2pi*r/12
Arc = 12pi/12
Arc = pi units