Figure 1 below shows the sector AOB AOB\,AOB of a circle.
A student's attempt to find the area of the sector AOB AOB\,AOB is shown below.
Area =12r2θ=12×62×40=720\displaystyle = \frac{1}{2}r^2\theta = \frac{1}{2} \times 6^2 \times 40 = 720=21r2θ=21×62×40=720 cm2^22
Identify the mistake made by the student.
Write out a correct solution.