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minor arc AB in the diagram is 30 degrees and the radius of the circle is 6. Find the area of circular segment AB. 

 Feb 4, 2022
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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)

 Feb 4, 2022

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