The diagram shows a square ABCD of side 16 cm. M is the mid-point of AB. The

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The diagram shows a square ABCD of side 16 cm. M is the mid-point of AB.


The points E and F are on AD and BC respectively such that AE = BF = 6 cm.

EF is an arc of the circle centre M, such that angle EMF is θ radians.

a. Show that θ = 1.855 radians, correct to 3 decimal places.

b. Calculate the perimeter of the shaded region.

c. Calculate the area of the shaded region.

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