Which is the larger unit, a degree or a radian? Are they very close in size, or very different

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04-10-2017
Mathematics

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Which is the larger unit, a degree or a radian? Are they very close in size, or very different

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jdoe0001 jdoe0001 · Answer 1 · 2017-10-04T00:41:00+02:00

well, again, recall, there are 180° in π radians, let's now check how many degrees in 1 radian then.

[tex]\bf \begin{array}{ccll} de grees&radians\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 180&\pi \\ d&1 \end{array}\implies \cfrac{180}{d}=\cfrac{\pi }{1}\implies \cfrac{180\cdot 1}{\pi }=d[/tex]

that many degrees in 1 radian, just 1 radian.

well, how close are their sizes? surely you'd know.