How do you convert $\frac{4 π}{3}$ $(4pi)/3$ into degrees?

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Answer 1 · 2018-08-06T05:36:02

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$\frac{4 π}{3} = 240^{\circ}$ $color(red)((4pi)/3=240^@$

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To convert a radian value into degrees: $π$ $color(red)(pi$ radians $= 180^{\circ}$ $color(red)(= 180^@$

Given:

$\frac{4 π}{3}$ $color(blue)((4pi)/3$

To convert:

$\Rightarrow \frac{180^{\circ}}{π} \cdot \frac{4 π}{3}$ $rArr 180^@/pi*(4pi)/3$

$rArr 180^@/cancel pi*(4 cancel pi)/3$

$rArr 720^@/3$

$rArr 240^@$

Hence,

$color(red)((4pi)/3=240^@$

Hope it helps.

Answer 2 · 2018-08-06T05:36:03

$(4pi)/3=240^0$

$(4pi)/3=?$
The angle is in radians
$pi$ radians $=180^0$
Thus,
$(4pi)/3=(4 xx 180)/3=240^0$
$(4pi)/3=240^0$

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