Sector AOB is a sector of a circle, radius r r\,r cm.
Triangle AOB is equilateral. The perimeter of the sector is (24+4π)(24+4\pi)(24+4π) cm.
Find, in terms of π\piπ, the area of the sector.
278 exam-style questions on Edexcel A Level Maths Radians, covering 5.1 Radian Measure, 5.2 Arc Length, 5.3 Areas of Sectors and Segments, 5.4 Solving Trigonometric Equations, and 5.5 Small Angle Approximations. Each one has a worked solution and a mark scheme showing where the marks go.