In the diagram, OA = 1 cm, angle AOB = angle BOC = angle COD = /4

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In the diagram, OA = 1 cm, angle AOB = angle BOC = angle COD = π/4 and angle OAB = angle OBC = angle OCD = π/2­.


a. Find the length of OD, giving your answer in the form a√2.

b. Show that the perimeter of the pentagon OABCD is 4 + 3√2 cm.

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