Explained: "What is 3π8 radians in degrees?"

High School
Geometry
Trigonometry
Trigonometric equations and identities

Sanai Navarro

Answered question

2022-12-26

What is

\frac{3 π}{8}

radians in degrees?

Answer & Explanation

Armeebildzku

Beginner2022-12-27Added 14 answers

Standard ratio = $\displaystyle\frac{{{180}^{\circ}}}{{\pi\ \text{ radians}}}$
$\displaystyle\frac{{{3}\pi}}{{8}}\ \text{ radians}$
$\displaystyle{\color{white}{\text{XXX}}}=\frac{{{3}\cancel{{\pi}}}}{{8}}\cancel{\ \text{ radians}}\times\frac{{{180}^{\circ}}}{{\cancel{{\pi}}\cancel{{\ \text{ radians}}}}}$
$\displaystyle{\color{white}{\text{XXX}}}=\frac{{{540}^{\circ}}}{{8}}$
$\displaystyle{\color{white}{\text{XXX}}}={67.5}^{\circ}$

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