Math, asked by gunas55198355, 5 months ago

PLEASE TELL ME ANSWER ​

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Answered by Rupali12345
2

Answer:

Distance covered by circular wheel in 20 rotation = 3520 cm

∴ Distance covered in rotation = 352020352020 cm = 176 cm

∴ Circumference of the wheel = 176 cm

∴ 2πr = 176 2 x −26−26 x r = 176 r = 176×72×22176×72×22 r = 28 cm

Radius of wheel is 28 cm

Answered by Rubellite
7

\Large{\underbrace{\sf{\orange{Required\:Solution:}}}}

Given thαt,

  • A wheel of α cαr covers α distαnce of 3520 cm in 20 rotαtions.

We need to find the rαdius of the wheel.

___________

Distαnce covered in 20 rotαtions = 3520 cm.

Distαnce covered in 1 rotations = \displaystyle{\sf{ \dfrac{3520}{20}}}

:\implies{\sf{ 176 cm}}

Therefore, the circumference of the circle is 176cm.

\large{\boxed{\sf{\orange{ Circumference_{(circle)} = 2\pi r}}}}

  • Substitute the vαlues αnd simplify.

\longrightarrow{\sf{ 176 = 2 \times \dfrac{22}{7} \times r}}

\longrightarrow{\sf{176= \dfrac{44r}{7}}}

\longrightarrow{\sf{ 176 \times 7 = 44r}}

\longrightarrow{\sf{ 1232 = 44r}}

\longrightarrow{\sf{ r = \dfrac{1232}{44}}}

\large\implies{\boxed{\sf{\orange{ r = 28cm}}}}

Hence, the rαdius of the wheel is 28cm.

And we αre done! :D

__________________________

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