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A railroad curve is to be laid on a circle. What radius (approximate) should be used if the track is to change direction by \( 25 ^{\circ}\) in a distance of 120 m?

A) 300 m
B) 280 m
C) 275 m
D) 264 m

Correct Answer:



C) 275 m

Description for Correct answer:
If \( \Large 25 \^{\circ}\) is formed by 120 m

\( \Large 360 \^{\circ} \) is formed by = \( \Large \frac{360 \times 120}{25} \)

= \( \Large \frac{43200}{25} \) = 1728m

Now circumference of circle = \( \Large 2 \pi r \)

\( \Large 1728 = 2 \times \frac{22}{7} \times r \)

\( \Large r = \frac{1728 x 7}{44} \)

r = \( \Large \frac{12096}{44} \) = 274.90 m

= 275 m(app)

Option (D)is correct.

Part of solved CDS Maths(1) questions and answers : Exams >> CDSE >> CDS Maths(1)

Comments

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