Physics Rotational & Circular Motion DUHS 2023
PMDC Verified Question 39 of 95
\( 1 \text{ radian} \) equals to:
A
\( 0.573^\circ \)
B
\( 5.73^\circ \)
C
\( 57.3^\circ \)
D
\( 573^\circ \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option C: \( 57.3^\circ \)
Concept:

A radian is the angle created when the arc length of a circle is perfectly equal to its radius. We find its exact degree value via a simple ratio.

Formula:

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

Solution:

  • Substitute \( \pi \approx 3.1416 \) into the equation.
  • \( \frac{180}{3.1416} \approx 57.2958^\circ \).
  • Rounding to one decimal place, this is \( 57.3^\circ \).


Why other options are incorrect:

  • Option A, Option B, Option D are off by orders of magnitude (decimal point errors), common when misusing calculators or misremembering constants.

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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