Your Practice Set – Applications and Interpretation for IBDP Mathematics
Exercise 17
1 . The following diagram shows a circle with centre O and radius 18 cm .
The points A , B and C are on the circumference of the circle , and
AOB ˆ � 2.41 rad .
( a ) Find the exact length of arc ACB .
( b ) Find the length of AB .
( c ) Hence , find the perimeter of the shaded segment ABC .
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2 . The following diagram shows a circle with centre O and radius 2 cm .
The points A , B and C are on the circumference of the circle , and
AOB ˆ � 0.68 rad .
( a ) Find the area of the sector OACB .
( b ) Find the area of the triangle OAB .
( c ) Hence , find the area of the shaded segment ABC .
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