Question

Which expression converts 45° to radians?

Answer 1

Answer

Find out which expression converts 45° to radians .

To prove

Relationship between degree to radians is given by

$1^{\circ} = \frac{\pi} {180}\ radian$

Now convert 45° to radians .

$=45\times\frac{\pi} {180}$

This the expression converts 45° to radians .

solving the above

$=\frac{\pi} {4}$

Put

$\pi = 3.14$

Put in the above equation

$= 0.785\ radians$

Hence proved

Answer 2

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.

Conversation of degree to 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:

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