A bike traveled 4.4 km and during this journey, its wheel completes

1.	A bike traveled 4.4 km and during this journey, its wheel completes 2000 revolution. What is the diameter of the wheel (in cm)?1. 35 cm2. 70 cm3. 28 cm4. 49 cm
Answer» Correct Answer - Option 2 : 70 cm Given: Total distance traveled = 4.4 km Number of revolution = 2000 Concept used: Total distance traveled = (Number of revolution) × (Circumference of the circle) Calculation: Let the radius of the circle be r cm. Circumference of circle = 2πr ⇒ Circumference = 2 × 22/7 × r Total distance traveled = (Number of revolution) × (Circumference of the circle) ⇒ 4.4 × 100000 cm = 2000 × 2 × 22/7 × r ⇒ r = (4.4 × 100000 × 7)/(2000 × 2 × 22) ⇒ r = 35 cm Diameter = 2 × Radius ⇒ Diameter = 2 × 35 cm ⇒ Diameter = 70 cm ∴ The diameter of wheel is 70 cm.

A bike traveled 4.4 km and during this journey, its wheel completes 2000 revolution. What is the diameter of the wheel (in cm)?1. 35 cm2. 70 cm3. 28 cm4. 49 cm

Answer» Correct Answer - Option 2 : 70 cm

Given:

Total distance traveled = 4.4 km

Number of revolution = 2000

Concept used:

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

Calculation:

Let the radius of the circle be r cm.

Circumference of circle = 2πr

⇒ Circumference = 2 × 22/7 × r

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

⇒ 4.4 × 100000 cm = 2000 × 2 × 22/7 × r

⇒ r = (4.4 × 100000 × 7)/(2000 × 2 × 22)

⇒ r = 35 cm

Diameter = 2 × Radius

⇒ Diameter = 2 × 35 cm

⇒ Diameter = 70 cm

∴ The diameter of wheel is 70 cm.

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