Edexcel C12 2019 June — Question 8

Exam BoardEdexcel
ModuleC12 (Core Mathematics 1 & 2)
Year2019
SessionJune
TopicRadians, Arc Length and Sector Area

8. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{de511cb3-35c7-4225-b459-a136b6304b78-20_547_463_269_735} \captionsetup{labelformat=empty} \caption{Figure 2}
\end{figure} Diagram not drawn to scale Figure 2 shows the design for a company logo. The design consists of a triangle \(A B E\) joined to a sector \(B C D E\) of a circle with radius 6 cm and centre \(E\). The line \(A E\) is perpendicular to the line \(D E\) and the length of \(A E\) is 9 cm . The size of angle \(D E B\) is 3.5 radians, as shown in Figure 2.
  1. Find the length of the arc BCD. Find, to one decimal place,
  2. the perimeter of the logo,
  3. the area of the logo.