OCR C2 2009 January — Question 2

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
Year2009
SessionJanuary
TopicRadians, Arc Length and Sector Area

2
\includegraphics[max width=\textwidth, alt={}, center]{bbee5a50-4a32-4171-8713-8eb38914a511-2_311_521_651_810} The diagram shows a sector \(O A B\) of a circle, centre \(O\) and radius 7 cm . The angle \(A O B\) is \(140 ^ { \circ }\).
  1. Express \(140 ^ { \circ }\) in radians, giving your answer in an exact form as simply as possible.
  2. Find the perimeter of the segment shaded in the diagram, giving your answer correct to 3 significant figures.