Wheel circumference is π x d = (22/7) x 60 = 1320/7 cm (approx 1.886 m). For 100 rotations, total distance is 100 x (1320/7) = 132000/7 cm ≈ 18857.14 cm = 188.57 m.
If the wheel of a bicycle has a diameter of 60 cm, find how far a cyclist will have travelled after the wheel has rotated 100 times.
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Given diameter of wheel d = 60 cm.
Circumference of wheel = π x d
Using π = 22/7:
Circumference = (22/7) x 60 = 1320 / 7 cm.
Distance covered in one full rotation equals the circumference: 1320 / 7 cm.
For 100 rotations:
Total distance = 100 x (1320 / 7) = 132000 / 7 cm.
Converting to meters:
Distance = (132000 / 7) / 100 = 1320 / 7 m ≈ 188.57 m.
Therefore, the cyclist will have travelled approximately 188.57 meters.
For more NCERT Solutions of Class 9 Ganita Manjari Chapter 6 Measuring Space: Perimeter and Area Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-6/