Question

the diameter of a wheel of a cycle is 70 cm. It moved slowly along the road how far will go in 24 complete revolutions.

Answer 1

distance=24×2πr
=24×22×70÷7
=5280cm

Answer 2

GIVEN:

• Diameter of a wheel = 70 cm
• No. of revolutions completed by a wheel = 24

TO FIND:

• What is the distance covered by the wheel ?

SOLUTION:

We have given that the diameter of the wheel is 70 cm

$\rm{Radius = \dfrac{Diameter}{2} = \cancel\dfrac{70}{2}}$

$\bf{Radius = 35 \: cm}$

We know that the formula for finding the circumference of the wheel is:-

$\bf{\star \: Circumference = 2 \pi r \: \star}$

According to question:-

$\rm{\dashrightarrow Circumference = 2 \times \dfrac{22}{\cancel{7}} \times \cancel{35}}$

$\rm{\dashrightarrow Circumference = 2 \times 22 \times 5 }$

$\bf{\star \: Circumference = 220 \: cm \: \star}$

To find the distance covered by the wheel, we use the formula:-

$\bf{\star \: No. \: of \: revolutions = \dfrac{Distance}{Circumference} \: \star}$

On putting the values in the formula, we get

$\rm{\dashrightarrow 24 = \dfrac{Distance}{220}}$

$\rm{\dashrightarrow Distance = 24 \times 220 }$

$\bf{\dashrightarrow \star \: Distance = 5280 \: cm \: \star}$

❝ Hence, the Distance covered by the wheel is 5280 cm ❞

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