Question

If the area of the wheel of the car is 616 cm², and it covers 1.76 km. Find the number of revolutions of the wheel during the journey.
1. 3000
2. 2000
3. 1200
4. 2500

Answer 1

Correct Answer - Option 2 : 2000

Given:

Area of wheel = 616 cm²

Total distance = 1.76 km

Concept used:

Total distance traveled = (Number of revolution) × (Circumference of the circle)

Calculation:

Area = πr²

⇒ 616 = 22/7 × r²

⇒ r² = 28 × 7

⇒ r² = √196

⇒ r = 14 cm

Circumference = 2πr

⇒ Circumference = 2 × 22/7 × 14

⇒ Circumference = 88 cm

Total distance traveled = (Number of revolution) × (Circumference of the circle)

⇒ 1.76 km = Number of revolution × 88

⇒ Number of revolution = 1.76/88 × 100000

⇒ Number of revolution = 2000

∴ The wheel makes 2000 revolution during the journey.