minor arc AB in the diagram is 30 degrees and the radius of the circle is 6. Find the area of circular segment AB.
Since the central angle of the sector is 30o,
the area of the sector of the circle is 30o / 360o = 1/12th the area of the circle:
pi·r2/12 = pi·62/12
To find the area of the triangle, use the formula:
Area = ½·a·b·sin(C) = ½·r·r·sin(C) = ½·6·6·sin(30o)
Thus, the answer is: pi·62/12 - ½·6·6·sin(30o)