Question

alguém pode me ajudar ?

Answer 1

  pi --- 180°
4pi/3 ---- x

pix = (180 * 4) / 3 pi
pix = 720/3 pi
x = 240°

============================

pi --- 180°
1pi/8 ---- x

pix = (180 * 1) / 8 pi
pix = 180/8 pi
x = 22.5°

=============================

pi --- 180°
5pi/3 ---- x

pix = (180 * 5) / 3 pi
pix = 900/3 pi
x = 300°

==============================

pi --- 180°
7pi/6 ---- x

pix = (180 * 7) / 6 pi
pix = 1260/6 pi
x = 210°

==============================

pi --- 180°
4pi/6 ---- x

pix = (180 * 4) / 6 pi
pix = 720/6 pi
x = 120°

===============================

pi --- 180°
1pi/12 ---- x

pix = (180 * 1) / 12 pi
pix = 180/12 pi
x = 15°

===============================

pi --- 180°
7pi/8 ---- x

pix = (180 * 7) / 8 pi
pix = 1260/8 pi
x = 157.5°

================================

pi --- 180°
3pi/4 ---- x

pix = (180 * 3) / 4 pi
pix = 540/4 pi
x = 135°

=================================

Você também poderá fazer de uma outra forma, veja

a) 4 pi / 3 = 4 * 180 = 720 / 3 = 240°
b) pi / 8 = 180 / 8 = 22.5°
c) 5 pi / 3 = 5 * 180 = 900 / 3 = 300°
d) 7 pi / 6 = 7 * 180 = 1260 / 6 = 210°
e) 4 pi / 6 = 4 * 180 = 720 / 6 = 120°
f) pi / 12 = 180 / 12 = 15°
g) 7 pi / 8 = 7 * 180 = 1260 / 8 = 157.5°
h) 3 pi / 4 = 3 * 180 = 540 / 4 = 135°

BONS ESTUDOS!

Answer 2

a)    pi      180
       4pi       x    ===>  pi. x = 180.4pi ==> x = 720°
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b)    pi      180
       pi /8      x    ===>  pi. x = 180.pi/8 ==> x = 180/8 ==> x = 22°30`
========================================================
c)     pi      180
       5pi/3       x    ===>  pi. x = 180.5pi/3 ==> x = 300°
========================================================
d)    pi      180
       7pi /6      x    ===>  pi. x = 180.7pi/6 ==> x = 210°
========================================================
e)    pi      180
      4pi /6      x    ===>  pi. x = 180.4pi/6 ==> x = 120°
========================================================
f)    pi      180
       pi /12      x    ===>  pi. x = 180.pi/12 ==> x = 15°
========================================================
e)    pi      180
      7pi /8      x    ===>  pi. x = 180.7pi/8 ==> x = 315/2 = 157° 30´
========================================================
f)    pi      180
      3pi/4      x    ===>  pi. x = 180.3pi/4 ==> x = 135°