Question

Ubahlah bentuk derajat berikut ke bentuk radian.
A.36⁰
B.40⁰
C.75⁰
D.80⁰
E.140⁰​

Answer 1

a)

[tex]\begin{aligned} \sf 36^{\circ} &= \sf 36^{\circ} \times \frac{1}{180^{\circ}}\pi \ rad \\ &= \sf \frac{36^{\circ}}{180^{\circ}}\pi \ rad \\ &= \sf \frac{1}{5}\pi \ rad \\ \end{aligned}[/tex]

b)

[tex]\begin{aligned} \sf 40^{\circ} &= \sf 40^{\circ} \times \frac{1}{180^{\circ}}\pi \ rad \\ &= \sf \frac{40^{\circ}}{180^{\circ}}\pi \ rad \\ &= \sf \frac{2}{9}\pi \ rad \\ \end{aligned}[/tex]

c)

[tex]\begin{aligned} \sf 75^{\circ} &= \sf 75^{\circ} \times \frac{1}{180^{\circ}}\pi \ rad \\ &= \sf \frac{75^{\circ}}{180^{\circ}}\pi \ rad \\ &= \sf \frac{5}{12}\pi \ rad \\ \end{aligned}[/tex]

d)

[tex]\begin{aligned} \sf 80^{\circ} &= \sf 80^{\circ} \times \frac{1}{180^{\circ}}\pi \ rad \\ &= \sf \frac{80^{\circ}}{180^{\circ}}\pi \ rad \\ &= \sf \frac{4}{9}\pi \ rad \\ \end{aligned}[/tex]

e)

[tex]\begin{aligned} \sf 140^{\circ} &= \sf 140^{\circ} \times \frac{1}{180^{\circ}}\pi \ rad \\ &= \sf \frac{140^{\circ}}{180^{\circ}}\pi \ rad \\ &= \sf \frac{7}{9}\pi \ rad \\ \end{aligned}[/tex]

⌗SDaze ⋆࿐໋₊