Question

Trigonometry

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

Answer 1

144°

Explanation:

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

#We know that:

`1 \ rad= 57.296\textdegree =180/\pi`

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

`=(4\pi)/(5)\ rad* (180)/(\pi)\\\\=144\textdegree`

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