MHB Write 2.158 radians in terms of Pi

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To convert 2.158 radians into terms of pi, divide 2.158 by π (approximately 3.14159). This calculation results in approximately 0.687π radians. The process involves recognizing that radians can be expressed as a multiple of π. Understanding this conversion is essential for expressing angles in terms of pi. The discussion highlights the straightforward mathematical relationship between radians and π.
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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