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The diagram shows a metal plate \(A B C D E F\) which has been made by removing the two shaded regions from a circle of radius 10 cm and centre \(O\). The parallel edges \(A B\) and \(E D\) are both of length 12 cm .
- Show that angle \(D O E\) is 1.287 radians, correct to 4 significant figures.
- Find the perimeter of the metal plate.
- Find the area of the metal plate.