Convert the angle 5/3π fraction radians to degrees.

Question

asked Sep 5, 2024 142k views

1 Answer

Sam Alex · Answer 1 · 2024-09-11T11:55:56+0000

Answer:

300°

Explanation:

We are given that an angle is
$(5)/(3 ) \pi$ radians.

We want to convert it from radians to degrees.

1 radian =
$(180)/(\pi )$ degrees.

We can put the
$\pi$ on the numerator.

We get:
$(5\pi )/(3)$

Now, multiply this by
$(180)/(\pi )$ .

$(5\pi )/(3)$ ×
$(180)/(\pi )$ =
$(5\pi * 180)/(3 * \pi )$

This can be simplified down.

$(5\pi * 180)/(3 * \pi )$ =
(5 * 180)/(3 ) =
{5 * 60} =
300

So,
$(5)/(3) \pi$ radians is 300 degrees.