Question

Show at least 2 ways to convert 3/8 pi into degrees.

Answer 1

Number 1:

Concept:

That means that 1 radian is equal to 180 degrees divided by π. So, in order to convert radians to degrees, all you have to do is multiply the number of radians by 180 divided by π. For instance, let's say you have to convert 1/2 π radians into degrees. Simply multiply π/2 by 180/ π to get 90 degrees.

The angle in radians is given below as

`(3)/(8)\pi`

Step 1:

Multiply the angle in radians by 180/π

`\begin{gathered} (3)/(8)\pi \\ =(3)/(8)*(180)/(\pi) \\ =67.5^0 \end{gathered}`

Hence,

The final answer is

`\Rightarrow(3)/(8)\pi=67.5^0`

Step 2:

From the conversion in a circle,

`\begin{gathered} 2\pi rad=360^0 \\ (3)/(8)\pi=x \\ corss\text{ mulitply, we will have} \\ 2\pi x=(3)/(8)\pi*360 \\ 2\pi x=135\pi \\ divide\text{ both sides by 2}\pi \\ (2\pi x)/(2\pi)=(135\pi)/(2\pi) \\ x=67.5^0 \end{gathered}`

We can also use the chart below