Physics Rotational & Circular Motion SZABMU 2022
PMDC Verified Question 51 of 95
How many radians are in one degree?
A
\( 0.0174 \text{ rad} \)
B
\( 0.174 \text{ rad} \)
C
\( 1.745 \text{ rad} \)
D
\( 0.00174 \text{ rad} \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: \( 0.0174 \text{ rad} \)
Concept:

There are \( 180^\circ \) in \( \pi \) radians. We use this ratio to find the radian equivalent of a single degree.

Formula:

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

Solution:

  • Substitute \( \pi \approx 3.14159 \).
  • \( 1^\circ = \frac{3.14159}{180} \).
  • Dividing yields \( 0.017453 \text{ radians} \).
  • Rounding to four decimal places gives \( 0.0174 \text{ rad} \).


Why other options are incorrect:

  • Option B, Option C, Option D are magnitude errors (wrong decimal place shifts) common in careless mental math.

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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