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How do you convert 7pi/3 to degrees?

1 Answer

Aug 18, 2015

$\frac{7 π}{3} r a d i a n s = 420^{o}$ $(7pi)/3 radians = 420^o$

Explanation:

$π$ $pi$ radians $= 180^{o}$ $= 180^o$ $XXXX$ $color(white)("XXXX")$ (a straight line)

$\Rightarrow$ $rArr$ $XXXX$ $color(white)("XXXX")$ $1$ $1$ radian $= \frac{180^{o}}{π}$ $= (180^o)/pi$

$\Rightarrow$ $rArr$ $XXXX$ $color(white)("XXXX")$ $\frac{7 π}{3}$ $(7pi)/3$ radians $= (180^o)/cancel(pi)*(7cancel(pi))/3 = 420^o$

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