Question

5. The diameter of a cycle's wheel is 28 cm. Find how many times the wheel will revolve in
order to cover a distance of 704 m.​

Answer 1

✬ 800 Times ✬

Step-by-step explanation:

Given:

Diameter of a cycle's wheel is 28 cm.

Distance need to be covered by wheel is 704 m.

To Find:

How many times wheel will revolve ?

Solution: Let wheel will be revolve x times for covering given distance.

Point to understand - When the wheel will rotate for one time then it will be equal to its circumference.

A wheel is always in circular shape so let's find radius & circumference.

➟ Radius = Diameter/2

➟ r = 28/2 = 14 cm

★ Circumference of Circle = 2πr ★

$\implies{\rm }$ 2 × 22/7 × 14

$\implies{\rm }$ 44/7 × 14

$\implies{\rm }$ 44 × 2

$\implies{\rm }$ 88 cm

So, wheel will cover 88 cm in one revolution.

Now changing distance into cm.

1 m = 100 cm

704 m = 704 × 100 cm

∴ Number of revolution ( x ) will be

➬ Total distance/circumference

➬ 704 × 100/88

➬ 70400/88

➬ 800

Hence, wheel will revolve 800 times to cover given distance.

Answer 2

✬ 800 Times ✬

Step-by-step explanation:

Given:

Diameter of a cycle's wheel is 28 cm.

Distance need to be covered by wheel is 704 m.

To Find:

How many times wheel will revolve ?

Solution: Let wheel will be revolve x times for covering given distance.

Point to understand - When the wheel will rotate for one time then it will be equal to its circumference.

A wheel is always in circular shape so let's find radius & circumference.

➟ Radius = Diameter/2

➟ r = 28/2 = 14 cm

★ Circumference of Circle = 2πr ★

$\implies{\rm }$ 2 × 22/7 × 14

$\implies{\rm }$ 44/7 × 14

$\implies{\rm }$ 44 × 2

$\implies{\rm }$ 88 cm

So, wheel will cover 88 cm in one revolution.

Now changing distance into cm.

1 m = 100 cm

704 m = 704 × 100 cm

∴ Number of revolution ( x ) will be

➬ Total distance/circumference

➬ 704 × 100/88

➬ 70400/88

➬ 800

Hence, wheel will revolve 800 times to cover given distance.