OCR C2 2016 June — Question 2

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
Year2016
SessionJune
TopicRadians, Arc Length and Sector Area

2
\includegraphics[max width=\textwidth, alt={}, center]{555f7205-5e2a-4471-901d-d8abc9dd4b4a-2_417_476_1030_790} The diagram shows a sector \(A O B\) of a circle with centre \(O\) and radius \(r \mathrm {~cm}\). The angle \(A O B\) is \(54 ^ { \circ }\). The perimeter of the sector is 60 cm .
  1. Express \(54 ^ { \circ }\) exactly in radians, simplifying your answer.
  2. Find the value of \(r\), giving your answer correct to 3 significant figures.