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!
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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