Chapter T, Problem 2DDT

(a)

To determine

To convert: The value $\frac{5\pi }{6}$ radian to degree.

Answer to Problem 2DDT

The value $\frac{5\pi }{6}$ radian to degree is $150°$.

Explanation of Solution

Formula used:

Relation between degree and radians: $\text{degree}=\text{radian×}\frac{180°}{\pi }$.

Calculation:

Consider the given radian $\frac{5\pi }{6}$.

Use the above mentioned formula and compute $\frac{5\pi }{6}$ radian to degree as follows,

$\begin{array}{c}\text{degree}=\frac{5\pi }{6}\text{×}\frac{180°}{\pi }\\ =5\times 30°\\ \text{=}150°\end{array}$

Thus, The value $\frac{5\pi }{6}$ radian to degree is $150°$.

(b)

To determine

To convert: The value 2 radian to degree.

Answer to Problem 2DDT

The value 2 radian to degree is $114.65°$.

Explanation of Solution

Formula used:

Relation between degree and radians: $\text{degree}=\text{radian×}\frac{180°}{\pi }$.

Calculation:

Consider the given radian 2.

Use the above mentioned formula and compute 2 radian to degree as follows,

$\begin{array}{c}\text{degree}=2\text{×}\frac{180°}{\pi }\\ =\frac{360°}{\pi }\\ \approx 114.65°\end{array}$

Thus, The value 2 radian to degree is $114.65°$.