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A truck moves along a circular path and describes 100 m when it has traced out 36° at the centre. The radius of the circle is equal to

a

250πfrac{250}{pi} metre

b

100πfrac{100}{pi} metre

c

500πfrac{500}{pi} metre

d

600πfrac{600}{pi} metre

Answer : Option C
Explanation :

AB = 100 Metre

360=2πrecause 360^{circ}=2 pi mathrm{r}

36=2πr360×36=πr5 herefore 36^{circ}=frac{2 pi r}{360} imes 36=frac{pi r}{5}

πr5=100r=500π herefore frac{pi r}{5}=100 Rightarrow r=frac{500}{pi} metre

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