289,435 views
27 votes
27 votes
Convert the angle \theta=\dfrac{3\pi}{5}θ= 53π theta, equals, start fraction, 3, pi, divided by, 5, end fraction radians to degrees.Express your answer exactly.\theta=

Convert the angle \theta=\dfrac{3\pi}{5}θ= 53π theta, equals, start fraction, 3, pi-example-1
User DanielJ
by
2.3k points

2 Answers

10 votes
10 votes

Answer:

108 degrees

Explanation:

got it right

User Evil Otto
by
3.4k points
23 votes
23 votes

Solution:

Given


\begin{gathered} \theta=(3\pi)/(5) \\ \\ \end{gathered}

Recall that;


\begin{gathered} 1\text{ }radian=(180^o)/(\pi) \\ \end{gathered}
\begin{gathered} (3\pi)/(5)radian=(180^o)/(\pi)*(3\pi)/(5) \\ \\ (3\pi)/(5)radian=108^o \end{gathered}

ANSWER:


108^o

User David Brewer
by
3.0k points