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How do you convert 460degrees to radians?

1 Answer

Nov 19, 2015

$460^{\circ} = 2.55 ¯ 5$ $460^@ = 2.55bar5$ radians

Explanation:

For any angle the ratio of radians to degrees is a constant
$XXX = \frac{π radians}{180^{\circ}}$ $color(white)("XXX")= (pi " radians")/(180^@)$

Therefore
$XXX \frac{x radians}{240^{\circ}} = \frac{π radians}{180^{\circ}}$ $color(white)("XXX")(x " radians")/(240^@) = (pi " radians")/(180^@)$

$\Rightarrow x radians = \frac{240}{180} \cdot π radians$ $rArr x " radians" = 240/180 * pi " radians"$

$XXXXXXXX = 2.55 ¯ 5 π radians$ $color(white)("XXXXXXXX")= 2.55bar5 pi " radians"$

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