Question

A cycle wheel has a radius of 28 cm .What distance will it travel in one revolution .In 24 revolution
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Answer 1

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Step-by-step explanation:

TO FIND:

Distance travelled by wheel in given revolution

GIVEN:

Radius of wheel:28 cm

The distance travelled in one revolution will be equal to the circumference of circle [C]

$\red{\boxed{\green{C=2πr}}}$

So substituting the values given we get;

C=2πr

=2*π*28••••[we know that π=3.14]

=175.8cm

Thus it travels 175.8cm in one revolution.

Now,the distance travelled in 24 revolution

Distance travelled=distance travelled in one revolution*Number of revolution

=175.8*24

=2419.2cm

Thus it travels the distance of 175.8cm in one revolution and 2419.2cm in 24 revolution

Answer 2

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Distance Covered in one revolution is 176 cm.

Distance covered in 24 revolution is 4224 cm.

$\bold{\huge{\underline{\underline{\sf{StEp\:by\:stEp\:explanation:}}}}}$

GiVeN :

• A cycle wheel has a radius of 28 cm
• Number of revolution = 24

To FiNd :

• Distance covered in one revolution
• Distance covered in 24 revolution

SoLuTiOn :

One revolution of the wheel will be equal to the circumference of the circle (wheel).

FoRmUlA fOr CiRcUmFeReNcE :

$\bold{\large{\boxed{\sf{\blue{Circumference\:of\:the\:cricle\:=\:2\:\pi\:r}}}}}$

Block in the values,

$\longrightarrow$$\bold{\sf{2\:\times{\dfrac{22}{7}\:\times\:28}}}$

$\longrightarrow$$\bold{\sf{\dfrac{44\:\times\:28}{7}}}$

$\longrightarrow$$\bold{\sf{\dfrac{1232}{7}}}$

$\longrightarrow$$\bold{\sf{176}}$

•°• In one revolution the wheel will cover a distance of 176 cm

For 24 revolution :

To calculate the distance covered in 24 revolution, we can simply multiply the distance covered in one revolution with the number of revolution it made i.e 24.

$\longrightarrow$ $\bold{\sf{24\:\times\:176}}$

$\longrightarrow$ $\bold{\sf{4224}}$

•°• Distance covered in 24 revolution is 4224 cm.