Respuesta :
Answer
[tex]converts\ \frac{\pi} {4}\ radian\ to\ degrees.[/tex]
To prove
The relationship between the radian and the degree is given by .
[tex]1radian = \frac{180^{\circ}}{\pi}[/tex]
Now
[tex]converts\ \frac{\pi} {4}\ radian\ to\ degrees.[/tex]
Put value in the relationship given above .
[tex]=\frac{\pi\times 180^{\circ}} {4\times\pi}[/tex]
Solving the above
[tex]= \frac{180^{\circ}}{4}[/tex]
= 45°
The expression that converts π/4 radians to degrees is; π/4 × 180/π = 45°
Units conversion
We want to convert π/4 radians to degrees.
Now, to convert radians to degrees we simply multiply by 180/π due to the fact that a full cycle is 2π radians.
Thus;
π/4 radians to degrees is;
π/4 × 180/π
>> 45°
Read more on units conversion at; https://brainly.com/question/1498242
