Two pulleys of radii r1 and r2 and at distance x apart are connected by means of a cross belt drive. The length of the belt is
A. $$\pi \left( {{{\text{r}}_1} + {{\text{r}}_2}} \right) + \frac{{{{\left( {{{\text{r}}_1} + {{\text{r}}_2}} \right)}^2}}}{{\text{x}}} + 2{\text{x}}$$
B. $$\pi \left( {{{\text{r}}_1} + {{\text{r}}_2}} \right) + \frac{{{{\left( {{{\text{r}}_1} - {{\text{r}}_2}} \right)}^2}}}{{\text{x}}} + 2{\text{x}}$$
C. $$\pi \left( {{{\text{r}}_1} - {{\text{r}}_2}} \right) + \frac{{{{\left( {{{\text{r}}_1} - {{\text{r}}_2}} \right)}^2}}}{{\text{x}}} + 2{\text{x}}$$
D. $$\pi \left( {{{\text{r}}_1} - {{\text{r}}_2}} \right) + \frac{{{{\left( {{{\text{r}}_1} + {{\text{r}}_2}} \right)}^2}}}{{\text{x}}} + 2{\text{x}}$$
Answer: Option A

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