A wheel completes 2000 full rotations while traveling a total distance of 88 km.
When a wheel completes one full rotation, it covers a distance equal to its circumference.
Circumference of a circle =2πr where r is the radius.
Total distance covered =88 km =88×1000=88,000 m
Number of rotations =2000
Distance covered in 1 rotation =200088,000
Distance covered in 1 rotation =44 m
Distance in 1 rotation equals the circumference of the wheel.
2πr=44
r=2π44
r=2×72244
r=2×2244×7
r=44308
r=7 m
Therefore, the radius of the wheel is 7 m.