Question

What is `(pi)/8` radians in degrees?

Answer 1

Take note that π corresponds to 180 degrees.
Answer is `22.5^o`

Explanation:

`π` is equal to `180^o`
`π/8` is equal to `x`

`π/180=(π/8)/x`

`x*π=180*π/8`

`x=180/8`

`x=22.5^o`

Answer 2

Just remember the proportion: `2pi=360^º`

Explanation:

`2pi <=> 360^º`
`pi/8 <=> x`

Cross multiplying it:

`2pix=360^º(pi/8)`

`((2*8)cancel(pi)x)/cancel(pi)=360^º`

`16x=360^º`

`x=360^º/16=22.5^º`