Question

find the distance covered by the wheel of a car in 400 revolution of f the diameter of the wheel is 77cm​

Answer 1

Answer:

968 m

Step-by-step explanation:

d = 77 cm

r = 77/2 cm

In 1 revolution, the wheel covers its entire circumference.

So, it will cover a distance of 400 × Circumference in 400 revolutions.

Circumference = 22/7 × 2 × 77/2 cm = 242 cm

Distance covered = 400 × 242 cm = 96800 cm or 968 m

Answer 2

Given:

• Diameter of wheel of car = 77cm
• Revolution of wheel of car = 400 times

To find:

• Distance covered by car in given revolution.

Solution:

We are given that diameter of whell of car is 77cm and wheel take revolution 400 times.

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Distance covered by wheel of car in 1 round will equal to circumference of wheel.

So, first we find the distance covered by wheel of car in one round and then in 400 rounds.

We know that :

$\huge{\boxed{\large{\bf{Circumference\: of\: wheel \: _{(circle)} \: =\: 2πr}}}}$

Where,

• π = 22/7
• r = radius of Circle = diameter/2 = 77/2 = 38.5cm

Therefore, distance covered by wheel in one round =

Circumference of wheel = 2πr

→ Circumference of wheel = $\large{\bf{2×\frac{22}{7}×38.5}}$

→ Circumference of wheel = $\large{\bf{\frac{1694}{7}}}$

→ Circumference of wheel = 242 cm.

Therefore,

Distance covered by wheel in one round is 242cm.

Distance covered by wheel in 400 round :

Above, we found that wheel will cover the distance of 242cm in one round.

So,

Distance covered by wheel in 400 round will be 400 times of distance covered in one round.

Therefore,

Distance covered by wheel in 400 round = 400×242

→ Distance covered by wheel in 400 rounds = 96800 cm

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Answer :-

$\large{\boxed{\bf{\green{Distance\: covered\: by \: wheel\: in \: 400\: rounds\: =\: 96800cm\: or\: 968m}}}}$