Question

The diameter of a wheel is 14 cm. The number of a revolutions the wheel will make to cover a distance of 880cm is

Answer 1

Answer:

Step-by-step explanation:

radius = 7cm

circumference=2πr = 2×(22/7)×7 =2×22 = 44 cm

now 44cmis the one revolution of the wheel

so to cover 880cm the wheel will revolve 880/44 times

ie. 20 revolutions

Answer 2

Given: Diameter of wheel = 14cm

           Distance = 880cm

To find: The number of revolutions the wheel will make to cover a distance of 880cm

Solution:

∴ One revolution of wheel = Perimeter of the wheel

Now, given that

Diameter = 14cm and distance = 880cm

∵ $Radius = \frac{Diameter}{2}$

⇒ $\frac{14}{2} = 7cm$

∵ Perimeter of wheel = 2π$r$ , where π = $\frac{22}{7}$

⇒ $2 * \frac{22}{7} * 7 = 44cm$

∵ Number of revolutions = $\frac{Total \ distance}{Perimeter \ of \ wheel}$ (Here, perimeter of wheel can be understood as one revolution i.e., Number of revolutions = $\frac{Total \ distance}{Distance \ covered \ in \ one \ revolution}$ )

⇒ $\frac{880}{44} = 20$

Hence, the wheel will make 20 revolutions to cover a distance of 880cm.