Edexcel P1 2019 June — Question 7

Exam BoardEdexcel
ModuleP1 (Pure Mathematics 1)
Year2019
SessionJune
TopicRadians, Arc Length and Sector Area

7. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{5eee32af-9b0e-428c-bbc6-1feef44e0e1e-16_661_999_246_603} \captionsetup{labelformat=empty} \caption{Figure 2}
\end{figure} The shape \(A B C D A\) consists of a sector \(A B C O A\) of a circle, centre \(O\), joined to a triangle \(A O D\), as shown in Figure 2. The point \(D\) lies on \(O C\).
The radius of the circle is 6 cm , length \(A D\) is 5 cm and angle \(A O D\) is 0.7 radians.
  1. Find the area of the sector \(A B C O A\), giving your answer to one decimal place. Given angle \(A D O\) is obtuse,
  2. find the size of angle \(A D O\), giving your answer to 3 decimal places.
  3. Hence find the perimeter of shape \(A B C D A\), giving your answer to one decimal place.
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