Question

How many times should a wheel of radius 7 m rotate to go around the perimeter
of a rectangular field of length 60 m and breadth 50 m?

(a) 3 (b) 4 (c) 5 (d) 6

Answer 1

Here, Radius (r) = 7 m, Length (l) = 60 m and Breadth (b) = 50 m.
Perimeter of circle = $2\pi r=2\times \frac{22}{7}\times 7=44\mathrm{m}$
Perimeter of rectangle = $2\left(l+b\right)=2\left(60+50\right)=220\mathrm{m}$
Therefore
Number of turns = $\frac{\mathrm{Perimeter}\mathrm{of}\mathrm{rectangle}}{\mathrm{Perimeter}\mathrm{of}\mathrm{circle}}=\frac{220}{44}=5$
Hence, the correct option is (c).