Answer
Find out which expression converts 45° to radians .
To prove
Relationship between degree to radians is given by
[tex]1^{\circ} = \frac{\pi} {180}\ radian[/tex]
Now convert 45° to radians .
[tex]=45\times\frac{\pi} {180}[/tex]
This the expression converts 45° to radians .
solving the above
[tex]=\frac{\pi} {4}[/tex]
Put
[tex]\pi = 3.14[/tex]
Put in the above equation
[tex]= 0.785\ radians[/tex]
Hence proved
The expression that converts 45° to radians can be calculated using the formula the describes their relationship which is 1° × π/180 = 0.785 radians.
The formula 1° × π/180 = rads is used to convert degree to radians.
Where the degree given = 45°
Substitute the given degree into the given formula.
That is,
x = 45° × π/180
X = π/4 rads
X = 3.14/4
X = 0.785 radians
Therefore the expression that converts 45° to radians is π/4 which is = 0.785 radians.
Learn more about degree conversation here:
https://brainly.com/question/3484566
