Physics Rotational & Circular Motion NUMS 2023
PMDC Verified Question 42 of 95
The relation between radian and degree is:
A
\( 1 \text{ rad} = 57.3^\circ \)
B
\( 1^\circ = 57.3 \text{ rad} \)
C
\( 1 \text{ rad} = 1^\circ \)
D
\( 1^\circ = \pi \text{ rad} \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: \( 1 \text{ rad} = 57.3^\circ \)
Concept:

Because a full circle of \( 360^\circ \) corresponds to only \( 2\pi \) (approx 6.28) radians, a single radian must be a very large chunk of degrees.

Formula:

$$ 1 \text{ rad} = \frac{180^\circ}{\pi} $$

Solution:

  • Dividing 180 by \( \pi \) (3.14159...) yields approximately \( 57.2958^\circ \).
  • Rounding to one decimal place, we get \( 1 \text{ rad} = 57.3^\circ \).


Why other options are incorrect:

  • Option B flips the relationship backward (1 degree is tiny, about 0.017 rad).
  • Option D falsely equates 1 degree to a half-circle.

Quality & Fidelity Assurance: Every question on BeambePrep is rigorously curated against the official PMDC syllabus with zero filler, zero out-of-syllabus content, and zero typos. When an authentic past paper originally contained a historical mistake or ambiguity from the examining board (such as UHS or NUMS), BeambePrep faithfully reflects the original paper while detailing the nuance and scientific consensus in the autopsy above.

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