MHB Write 2.158 radians in terms of Pi

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SUMMARY

2.158 radians can be expressed as approximately 0.687π radians through a simple conversion process. This involves dividing 2.158 by the value of π (approximately 3.1415926535) to obtain the coefficient of π. The calculation confirms that 2.158 rad = 0.687π rad, providing a clear method for converting radians to a π-based representation.

PREREQUISITES
  • Understanding of radians and their relationship to degrees
  • Basic knowledge of mathematical constants, specifically π
  • Familiarity with unit conversion techniques
  • Ability to perform basic arithmetic operations
NEXT STEPS
  • Learn about the relationship between radians and degrees
  • Explore the properties of π and its applications in trigonometry
  • Study unit conversion methods in trigonometric contexts
  • Practice converting various angles from radians to π terms
USEFUL FOR

Students learning trigonometry, educators teaching angle conversions, and anyone needing to express angles in terms of π for mathematical clarity.

yeny
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Hello, can someone show me how 2.158 radians can also be written as .687pi? I need to learn how to do this so I can write my answer in terms of pi as opposed to 2.158.

Thank you in advance.

Yeny
 
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yeny said:
Hello, can someone show me how 2.158 radians can also be written as .687pi? I need to learn how to do this so I can write my answer in terms of pi as opposed to 2.158.

Thank you in advance.

Yeny
It's just a change in scale. [math]2.158 \text{ rad } = \frac{ 2.158 \text{ rad } \pi }{ \pi} = \frac{2.158 \text{ rad }}{3.1415926535} \cdot \pi \approx 0.687 \pi \text{ rad }[/math]

-Dan
 
THANK YOU for your help and time!
 

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