If a wheel having diameter 56 cm makes 1000 revolution to cover a certain distance. What is the distance covered by the wheel (in km)?
1. 2.8 km
2. 1.76 km
3. 1.89 km
4. 2.52 km
1. 2.8 km
2. 1.76 km
3. 1.89 km
4. 2.52 km
Correct Answer – Option 2 : 1.76 km
Given:
Diameter = 56 cm
Number of revolution = 1000
Concept used:
Total distance = Number of revolution × Circumference
Circumference of circle = 2πr
Calculation:
Diameter = 56 cm
Radius = 56/2
⇒ Radius = 28 cm
Circumference of circle = 2πr
⇒ Circumference = 2 × 22/7 × 28
⇒ Circumference = 176 cm
Total distance = Number of revolution × Circumference
⇒ Total distance = 1000 × 176
⇒ Total distance = 176000 cm
⇒ Total distance = 176000 × 1/100000 km
⇒ Total distance = 1.76 km
∴ The distance covered by the wheel is 1.76 km.