If the wheel of a bicycle makes 160 revolutions in travelling 1.8 km, then what is its radius (in m)?

$\frac{45}{8\pi}$

We know that,

Circumference of circle = 2πr

Given,

Revolutions = 160

Distance covered = 1.8km

160 revolutions = 1.8 km =  1800 m

1 revolution = \(\frac{1800}{160}\) = \(\frac{45}{4}\)

We also know that, Circumference of wheel = 1 revolution

= 2πr = \(\frac{45}{4}\)

= r = \(\frac{45}{4 × 2π }\)

= r = \(\frac{45}{8π }\)