Question

Transforma los siguientes ángulos sexagesimales a radianes.

360o
135o
225o
240o
120o
300o
315o
270o

Answer 1

Respuesta:

360° = $360(\frac{2\pi }{360} )$ =  $2\pi$

135° = $135(\frac{2\pi }{360} )$ = $\frac{3}{4} \pi rad$

$225 = 225(\frac{2\pi }{360} )= \frac{5}{4}\pi rad \\\\240 = 240(\frac{2\pi }{360} )=\frac{5}{4}\pi rad\\\\120= 120(\frac{2\pi }{360} )=\frac{2}{3}\pi rad\\\\300= 300(\frac{2\pi }{360} )=\frac{5}{3}\pi rad\\\\315= 315(\frac{2\pi }{360} )=\frac{7}{4}\pi rad\\\\270= 270(\frac{2\pi }{360} )=\frac{3}{2}\pi rad$