3 . The following diagram shows the chord AB in a circle of radius 15.6 cm , where AB � 25 cm .
( a ) Find the size of the minor angle ˆ AOB , giving the answer in radians .
( b ) Find the area of the sector AOB .
It is given that the area of the triangle AOB is
2
117 cm .
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( c ) Find the area of the shaded region .
4 . The following diagram shows the chord AB in a circle of radius 24 cm , where AB � 37 cm .
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( a ) Find the size of the minor angle ˆ AOB , giving the answer in radians .
( b ) Find the length of the minor arc AB .
( c ) Hence , find the perimeter of the shaded segment .
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