228k views
5 votes
Complete each table converting the given measure to its equivalent measure in degrees or radians.

Complete each table converting the given measure to its equivalent measure in degrees-example-1
User Yoel
by
8.1k points

1 Answer

3 votes

We are asked to complete each table converting the given measure to its equivalent measure in degrees or radians

Degrees to Radians:

We use the following relation to convert from degrees to radians


\text{radian}=(2\pi)/(360\degree)*\text{degree}

Radians to Degrees:

We use the following relation to convert from radians to degrees


\text{degree}=(360\degree)/(2\pi)*\text{radian}

Now let us perform the conversions

Table 1:


\begin{gathered} \text{radian}=(2\pi)/(360\degree)*\text{degree} \\ \text{radian}=(2\pi)/(360\degree)*0\degree \\ \text{radian}=0 \end{gathered}
\begin{gathered} \text{radian}=(2\pi)/(360\degree)*\text{degree} \\ \text{radian}=(2\pi)/(360\degree)*30\degree \\ \text{radian}=(\pi)/(6) \end{gathered}
\begin{gathered} \text{degree}=(360\degree)/(2\pi)*\text{radian} \\ \text{degree}=(360\degree)/(2\pi)*(\pi)/(4) \\ \text{degree}=45\degree \end{gathered}
\begin{gathered} \text{degree}=(360\degree)/(2\pi)*\text{radian} \\ \text{degree}=(360\degree)/(2\pi)*(\pi)/(2) \\ \text{degree}=90\degree \end{gathered}

Table 2:


\begin{gathered} \text{degree}=(360\degree)/(2\pi)*\text{radian} \\ \text{degree}=(360\degree)/(2\pi)*(2\pi)/(3) \\ \text{degree}=120\degree \end{gathered}
\begin{gathered} \text{degree}=(360\degree)/(2\pi)*\text{radian} \\ \text{degree}=(360\degree)/(2\pi)*\pi \\ \text{degree}=180\degree \end{gathered}
\begin{gathered} \text{radian}=(2\pi)/(360\degree)*\text{degree} \\ \text{radian}=(2\pi)/(360\degree)*270\degree \\ \text{radian}=(3\pi)/(2) \end{gathered}

Therefore, both the tables have been completed with degrees and radians values.

User Dimitar Slavchev
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories