The diagram shows an equilateral triangle, PQR, with side length 5cm. M is the midpoint of the

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The diagram shows an equilateral triangle, PQR, with side length 5cm. M is the midpoint of the line QR. An arc of a circle, centre P, touches QR at M and meets PQ at X and PR at Y. Find in terms of π and 3:


a. The total perimeter of the shaded region.
b. The total area of the shaded region.

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