Question

A wheel of radius $\frac{4}{\pi }$ cm touches a flat surface, and the corresponding point of contact is A. Now the wheel rolls on the flat surface till the point A lies vertically above the corresponding point of contact in this position as shown. Find the distance covered by the centre of wheel (denoted by 'x').

Answer 1

Now we know that $r=\frac{4}{\pi }cm$
Circumference = $2\pi r=2\times \pi \times \frac{4}{\pi }=8cm$
Distance covered = $\frac{1}{2}\times circumference=\frac{1}{2}\times 8=4cm$ (1 mark)