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The diagram shows a square \(A B C D\) of side 10 cm . The mid-point of \(A D\) is \(O\) and \(B X C\) is an arc of a circle with centre \(O\).
- Show that angle \(B O C\) is 0.9273 radians, correct to 4 decimal places.
- Find the perimeter of the shaded region.
- Find the area of the shaded region.