KeerthanaPosted on 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 a250πfrac{250}{pi}π250 metre b100πfrac{100}{pi}π100 metre c500πfrac{500}{pi}π500 metre d600πfrac{600}{pi}π600 metre Answer : Option CExplanation : AB = 100 Metre ∵360∘=2πrecause 360^{circ}=2 pi mathrm{r}∵360∘=2πr ∴36∘=2πr360×36=πr5 herefore 36^{circ}=frac{2 pi r}{360} imes 36=frac{pi r}{5}∴36∘=3602πr×36=5πr ∴πr5=100⇒r=500π herefore frac{pi r}{5}=100 Rightarrow r=frac{500}{pi}∴5πr=100⇒r=π500 metre Rate This:NaN / 5 - 1 votesAdd comment