IB AAHL - trigonometry1

Given ΔABC, with lengths shown in the diagram below, find the length of the line segment [CD].

• CD = 4.34

• CD = 4.36

• CD = 4.38

• CD = 4.32

The radius of the circle with centre C is 7 cm and the radius of the circle with centre D is 5 cm. If the length of the chord [AB] is 9 cm, find the area of the shaded region enclosed by the two arcs AB.

The points P and Q lie on a circle, with centre O and radius 8 cm, such that  = 59°.Find the area of the shaded segment of the circle contained between the arc PQ and the chord [PQ].