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Question #c5789

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Dec 18, 2016

$\frac{3 π}{4}$ $(3pi)/4$ radians

Explanation:

If you divide $135^{\circ}$ $135^@$ by $360^{\circ}$ $360^@$ you obtain the fraction $\frac{3}{8}$ $3/8$

This means that $135^{\circ}$ $135^@$ is 3 eighths of a full rotation.

A full rotation in radians is $2 π$ $2pi$

Therefore, $135^{\circ} = (\frac{3}{8}) (2 π)$ $135^@ = (3/8)(2pi)$

We can simplify this to $\frac{3 π}{4}$ $(3pi)/4$

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