How do you convert ${128.77}^{o}$ $128.77^o$ to radians?

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How do you convert ${128.77}^{o}$ $128.77^o$ to radians?

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Answer 1 · 2016-07-25T23:57:26

${128.77}^{\circ} \approx 2.24746 radians$ $128.77^@ ~~ color(green)(2.24746 " radians")$

Explanation:

Suppose ${128.77}^{\circ}$ $128.77^@$ is equivalent to $R$ $R$ radians

Since $π radians = 180^{\circ}$ $pi" radians" = 180^@$
we know that the ratio $R : 128.77$ $R:128.77$ must be the same as the ratio $π : 180$ $pi:180$
or written as fractions
$XXX \frac{R}{128.77} = \frac{π}{180}$ $color(white)("XXX")R/128.77 =pi/180$

$\Rightarrow R = \frac{π \times 128.77}{180}$ $rArr R=(pixx128.77)/180$
or, using a calculator:
$XX R \approx 0.7153 ¯ 8 π \approx 2.24746$ $color(white)("XX")R~~0.7153bar(8)pi ~~2.24746$

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How do you convert ${128.77}^{o}$ $128.77^o$ to radians?

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How do you convert 128.77o128.77^o to radians?

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Explanation:

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How do you convert ${128.77}^{o}$ $128.77^o$ to radians?