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# Assertion: Angle and angular displacement are dimensionless quantities.Reason: Angle is equal to arc length divided by radius.(A) Both Assertion and Reason are correct and Reason is the correct explanation for the assertion.(B) Both Assertion and Reason are correct and Reason is not the correct explanation for the assertion(C) Assertion is correct but Reason is incorrect.(D) Both Assertion and Reason are incorrect

Last updated date: 08th Sep 2024
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Hint: This could be simply solved by understanding both assertion and reason. The formula for angular displacement will help here to get the solution.
Formula used: Here, we will use the basic formula of speed, distance and time:
$\theta = \dfrac{L}{r}$
Here, $\theta$ is the angular displacement
$L$ is the arc length
$r$ is the radius.

$\theta = \dfrac{L}{r}$
$\theta = \dfrac{L}{r} = \dfrac{{\left[ L \right]}}{{\left[ L \right]}} = \operatorname{dimensionless}$