If the area of the wheel of the car is 616 cm2, and it covers 1.76 km.

1.	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. 30002. 20003. 12004. 2500
Answer» 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.

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. 30002. 20003. 12004. 2500

Answer» 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.

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