Question

Write each measure in degrees if necessary round your answer to the nearest degree 7. 7π/48. 5π/3

Answer 1

`\begin{gathered} \text{Given} \\ (7\pi)/(4) \\ (5\pi)/(3) \end{gathered}`

Given an angle measure in radians, we can convert it to degree by multiplying the angle in radians with

`\theta\cdot(180°)/(\pi)`

Part A:

`\begin{gathered} (7\pi)/(4)\cdot(180°)/(\pi)=(7\cdot180°)/(4) \\ =315° \\ \\ \text{Therefore, }(7π)/(4)\text{ is }315°. \end{gathered}`

Part B:

`\begin{gathered} (5π)/(3)\cdot(180°)/(\pi)=(5\cdot180°)/(3) \\ =300° \\ \\ \text{Therefore, }(5\pi)/(3)\text{ is 300\degree.} \end{gathered}`