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9709 P12 - Mar 2022 - Q10 - 8 marks
192
Externally tangent circles radius 5 and 8 centred at A and B, touching C; BD tangent to smaller circle at D and crossing larger circle at E, region CDE shaded

The diagram shows a circle with centre A of radius 5 cm and a circle with centre B of radius 8 cm. The circles touch at the point C so that ACB is a straight line. The tangent at the point D on the smaller circle intersects the larger circle at E and passes through B.

(a) Find the perimeter of the shaded region. [5]

(b) Find the area of the shaded region. [3]

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