OCR C2 2011 June — Question 3

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
Year2011
SessionJune
TopicRadians, Arc Length and Sector Area

3
\includegraphics[max width=\textwidth, alt={}, center]{4d03f4e3-ae6c-4a0d-ae4d-d89258d2919a-2_515_501_1439_822} The diagram shows a sector \(A O B\) of a circle, centre \(O\) and radius 8 cm . The perimeter of the sector is 23.2 cm .
  1. Find angle \(A O B\) in radians.
  2. Find the area of the sector.