kellerpaula kellerpaula
  • 22-03-2020
  • Mathematics
contestada

Trigonometry
Arc Length and Radian Measure
Solve the following problem.
Convert 4π/5 radians to degrees.

Respuesta :

opudodennis
opudodennis opudodennis
  • 29-03-2020

Answer:

144°

Step-by-step explanation:

We are asked to convert 4π/5 radians to degrees.

#We know that:

[tex]1 \ rad= 57.296\textdegree =180/\pi[/tex]

Therefore, we multiply 4π/5 radians  by 180/π to get its degrees equivalent:

[tex]=\frac{4\pi}{5}\ rad\times \frac{180}{\pi}\\\\=144\textdegree[/tex]

Hence, the degrees equivalent of 4π/5 rad is 144°.

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