Question

Convert 45° from degrees to radians.

pi divided by five
pi divided by four
pi divided by three
pi divided by six

Answer 1

`\displaystyle (π)/(4)`

Step-by-step explanation:

`\displaystyle [45°][(π)/(180°)] = (45)/(180)π = (π)/(4)`

Degrees to Radians

`\displaystyle (π)/(180°)`

Radians to Degrees

`\displaystyle (180°)/(π)`

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Answer 2

pi divided by four

Explanation:

Let the angle in degrees be
`a`

Let the angle in radians be
`r`

If
`a` is the angle in degrees and
`r` is the angle in radians,

`a* (\pi )/(180)=r`

It is given that the
`a=45`

`r=(\pi)/(180)* a= (\pi)/(180)* 45=(\pi)/(4)`

So,
`r=(\pi)/(4)`