A-LevelMathematicsCircular measureFeb/Mar 2016Paper 1 Q910 Marks
(a) [Figure 1] In Fig. 1, OAB is a sector of a circle with centre O and radius r. AX is the tangent at A to the arc AB and angle BAX = α. (b) [Figure 2] In Fig. 2, ABC is an equilateral triangle of side 4 cm. The lines AX, BX and CX are tangents to the equal circular arcs AB, BC and CA. Use the results in part (a) to find the area of the shaded region, giving your answer in terms of π and √3.
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