How do you convert #(2pi)/5# to degrees?

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Answer 1 · 2015-05-13T18:51:30

Quite simple, actually: you just need to remember that #2pi = 360º#.

If
#2pi = 360º#
#(2pi)/5 = x#

Let's do a step-by-step here.

We can multiply these in 'cross', and maintain the equality, like this:

#2pi*x = (2pi)/5*360º#

we can divide both sides by #2pi#, to simplify. Then, we'd have left:

#x = (360º)/5#

So, #x = 72º#

Answer 2 · 2016-04-04T03:36:48

#72^circ#

Remember that #pi# is #180^circ#

So,

#rarr(2(180))/5#

#rarr(2(cancel180^36))/cancel5^1#

#rarr2(36)#

#color(green)(rArr72^circ#