Indian Institute of Foreign Trade 2009 Solved Paper

We know length of an arc is = angle subtended in radians × radius of the circle
Therefore in our case Length of the arc $=\mathit{x}\times \mathit{r}$
Also, area of sector
Therefore in our case area of sector $=\frac{\mathit{x}}{2}\times {\mathit{r}}^2$
Also given that area of sector = length of an arc^2
Therefore ${\mathit{x}}^2\times {\mathit{r}}^2=\frac{\mathit{x}}{2}\times {\mathit{r}}^2$
Solving we get x= 0.5
Therefore our answer is Option A