Radius of the circle r = 6cm, Length of the arc = 8cm Area of sector = \(\frac{\theta}{360}\) x \(\pi\)r2........(i) Length of arc = \(\frac{\theta}{360}\) x 2\(\pi\)r........(ii) from eqn. (ii) \(\theta\) = \(\frac{240}{\pi}\), subt. for \(\theta\) in eqn (i) Area x \(\frac{240}{1}\) x \(\frac{1}{360}\) x \(\frac{\pi 6}{1}\) = 24cm\(^2\)