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Question

Mathematics Question on Circles

How many times a wheel of radius 28 cm must rotate to go 352 m? (Take π\pi = 227\frac{22}{7})

Answer

r=28  cmr = 28\;cm

Circumference\text{Circumference} = 2πr2\pi r

= 2×227×282\times \frac{22}{7}\times 28

= 176  cm176 \;cm

Number of rotations=Total distance to be coveredCircumference of wheel\text{Number of rotations}=\frac{\text{Total distance to be covered}}{\text{Circumference of wheel}}

= 352  m176  cm\frac{352\;m}{176\;cm}

= 35200176\frac{35200}{176}

= 200200