In circular measure, the value of the an

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

In circular measure, the value of the angle 12° 30' is:

Options:

\(\frac{5π}{72}\)

\(\frac{π}{24}\)

\(\frac{π}{36}\)

\(\frac{5π}{12}\)

Correct Answer:

\(\frac{5π}{72}\)

Explanation:

12°30' = 12° + \(\frac{30°}{60}\)

= 12 + \(\frac{1}{2}\) = \(\frac{25°}{2}\) ( 180° = π )

= \(\frac{π}{180}\) × \(\frac{25}{2}\) = \(\frac{5π}{72}\)