OCR C2 — Question 5

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
TopicRadians, Arc Length and Sector Area

5.
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The diagram shows the sector \(O A B\) of a circle, centre \(O\), in which \(\angle A O B = 2.5\) radians. Given that the perimeter of the sector is 36 cm ,
  1. find the length \(O A\),
  2. find the perimeter and the area of the shaded segment.