CAIE P1 2010 November — Question 4

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2010
SessionNovember
TopicRadians, Arc Length and Sector Area

4
\includegraphics[max width=\textwidth, alt={}, center]{ae57d8f1-5a0d-426c-952d-e8b99c6aeaba-2_720_645_1183_751} The diagram shows points \(A , C , B , P\) on the circumference of a circle with centre \(O\) and radius 3 cm . Angle \(A O C =\) angle \(B O C = 2.3\) radians.
  1. Find angle \(A O B\) in radians, correct to 4 significant figures.
  2. Find the area of the shaded region \(A C B P\), correct to 3 significant figures.