Edexcel C2 2010 June — Question 6

Exam BoardEdexcel
ModuleC2 (Core Mathematics 2)
Year2010
SessionJune
TopicRadians, Arc Length and Sector Area

6.
\includegraphics[max width=\textwidth, alt={}, center]{571780c2-945b-4636-b7c3-0bd558d28710-07_458_809_258_569} \section*{Figure 1} Figure 1 shows the sector \(O A B\) of a circle with centre \(O\), radius 9 cm and angle 0.7 radians.
  1. Find the length of the arc \(A B\).
  2. Find the area of the sector \(O A B\). The line \(A C\) shown in Figure 1 is perpendicular to \(O A\), and \(O B C\) is a straight line.
  3. Find the length of \(A C\), giving your answer to 2 decimal places. The region \(H\) is bounded by the arc \(A B\) and the lines \(A C\) and \(C B\).
  4. Find the area of \(H\), giving your answer to 2 decimal places.
    \section*{LU}