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Convert degrees to radians:135° = __ πEnter your answer as a decimal to the hundredths place

Sagot :

Given:

[tex]\theta=135^{\circ}[/tex]

To convert the degrees to radians:

As we know,

[tex]\text{Radian}=\theta\times\frac{\pi}{180}[/tex]

So, we get

[tex]\begin{gathered} \text{Radian}=135\times\frac{\pi}{180} \\ =\frac{27\pi}{36} \\ =\frac{3\pi}{4} \end{gathered}[/tex]

Hence the answer is,

[tex]\frac{3\pi}{4}\text{ (or) 0.75}\pi[/tex]