Question

The following angles are given in radians. Convert them to degrees. Part A π6 Express your answer using two significant figures. Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type ϕ = nothing

Answer 1

Answer:

$\phi=1080 \textdegree}$

Step-by-step explanation:

To tackle these types of problems it is only a matter of memorizing the proper conversion formula that I have posted below.

$\text{Conversions:}\\\\\boxed{\left\begin{array}{ccc}\text{\underline{Degrees to Radians:}}\\\\ \text{Number of degrees} \times\frac{\pi}{180 \textdegree} \end{array}\right} \ \ \boxed{\left\begin{array}{ccc}\text{\underline{Radians to Degrees:}}\\\\ \text{Number of radians} \times\frac{180 \textdegree}{\pi} \end{array}\right}$

Given the angle 6π in radians, convert it to degrees.

$\text{Number of radians} \times\frac{180 \textdegree}{\pi} \\\\\Longrightarrow \phi=6\pi\times\frac{180 \textdegree}{\pi}\\\\\Longrightarrow \phi=6\times180 \textdegree\\\\\therefore \boxed{\boxed{\phi=1080 \textdegree}}$

Thus, the problem is solved.