How do you convert 15 degrees to radians?

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How do you convert 15 degrees to radians?

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Answer 1 · 2015-12-06T13:25:38

$x = \frac{π}{12}$ $x=\pi/12$

Explanation:

Since $260$ $260$ degrees are $2 π$ $2\pi$ radians, the proportion would be

$15 : 360 = x : 2 π$ $15:360=x:2\pi$ . Basically, you're writing "my angle in degree is a part of the whole $360^{\circ}$ $360^@$ angle in the same ratio in which my angle in radians is part of the whole $2 π$ $2\pi$ angle.

From the proportion, we have

$x = \frac{15 \cdot 2 π}{360} = \frac{30 π}{360} = \frac{π}{12}$ $x=(15*2\pi)/360 = (30\pi)/360 = \pi/12$

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How do you convert 15 degrees to radians?

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