The area of a sector of a circle is 1.440 cm2^22. The arc length of the sector is 1.20 cm. The angle of the sector is θ \theta\,θ radians and the radius of the circle is r r\,r cm.
Show that 12r2θ=1.440\displaystyle \frac{1}{2}r^2\theta = 1.44021r2θ=1.440 and rθ=1.20r\theta = 1.20rθ=1.20.
Hence find the value of θ \theta\,θ and the value of rrr.
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.