AQA C2 2009 June — Question 6

Exam BoardAQA
ModuleC2 (Core Mathematics 2)
Year2009
SessionJune
TopicRadians, Arc Length and Sector Area

6 The diagram shows a sector \(O A B\) of a circle with centre \(O\) and radius \(r \mathrm {~cm}\).
\includegraphics[max width=\textwidth, alt={}, center]{22f2da99-0878-48a6-a2b7-1ba339d3c7e4-07_447_424_360_790} The angle \(A O B\) is 1.2 radians. The area of the sector is \(33.75 \mathrm {~cm} ^ { 2 }\).
Find the perimeter of the sector.