Physics Rotational & Circular Motion PMDC 2020
PMDC Verified Question 77 of 95
1 radian is equal to
A
\( 57.1^\circ \)
B
\( 57.2^\circ \)
C
\( 57.3^\circ \)
D
\( 57.4^\circ \)
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 defined as the angle subtended when the arc length equals the radius. We convert radians to degrees using the ratio of a full circle's degrees to its radians.

Formula:

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

Solution:

  • Substitute \( \pi \approx 3.14159 \) into the formula.
  • \( \frac{180}{3.14159} \approx 57.2957^\circ \).
  • Rounding to one decimal place gives precisely \( 57.3^\circ \).


Why other options are incorrect:

  • Option A, Option B, Option D are incorrect rounding or inaccurate memorizations of this standard physics constant.

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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