2.
a rad
D
4 cm
In the diagram, AB is an arc of a circle with centre O and radius 4 cm. Angle AOB is
a radians. The point D on OB is such that AD is perpendicular to OB. The arc DC, with
centre O, meets OA at C.
i) Find an expression in terms of a for the perimeter of the shaded region ABDC. [4]
ii) For the case where a = tre, find the area of the shaded region ABDC, giving your
answer in the form kn, where k is a constant to be determined.
[4]
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Answer:
it's 6 square the radius of circle in 4cm
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