Find the circumference of a wheel whose diameter is 126cm. Find the distance covered by it by taking 50 rounds in meters.

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19.80m

16.80m

29.80m

69.80m

answer is A.

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Detailed Solution

Concept- Use this to get the supplied wheel's circumference.
The wheel now travels a distance equal to its circumference in one round. Therefore, after 50 cycles, the wheel will have traveled a total of 50 circumferences.
Given that the wheel's diameter is 126 cm.

https://lh4.googleusercontent.com/07DVQ_f2ph1iizmjTsLRYa7vegoTm1ajYJElsfCKCuJs8YLK2fqq7pCKl0m5ZE0DSqYeu4CKvYaRUNUpWUHrLCQz-cMtk_V8i7hZeaC-XxhAYnPLbi40aut5XBFt0Uvz8j0Ui27gKy1dws7CWaNpGpU

${"mathml":"<math class="image_resized" style="width:193px;height:37px"><span style="font-family:$ is the radius.
We are aware that a circle with radius r has a circumference of ${"mathml":"<math class="image_resized" style="width:24px;height:11px"><span style="font-family:$ units.
⇒ The wheel's circumference is ${"mathml":"<math class="image_resized" style="width:108px;height:13px"><span style="font-family:$ The result of replacing the value of ${"mathml":"<math class="image_resized" style="width:189px;height:13px"><span style="font-family:$ When we simplify, we obtain, = 396cm
Consequently, the wheel's circumference is 396 cm.
The wheel now travels a distance equal to its circumference, or 396 cm, in one rotation.
The wheel will therefore travel a total distance of =396 x 50 cm after 50 rotations.
The result of multiplication is =1980cm.
Now as 1m=100cm,
We get,
= 19.80m
Hence, the correct option is 1) 19.80m.

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