AQA C2 2006 June — Question 1

Exam BoardAQA
ModuleC2 (Core Mathematics 2)
Year2006
SessionJune
TopicRadians, Arc Length and Sector Area

1 The diagram shows a sector of a circle of radius 5 cm and angle \(\theta\) radians.
\includegraphics[max width=\textwidth, alt={}, center]{f066f68a-e739-4da3-8ec1-e221461146b0-2_327_358_571_842} The area of the sector is \(8.1 \mathrm {~cm} ^ { 2 }\).
  1. Show that \(\theta = 0.648\).
  2. Find the perimeter of the sector.