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

pi divided by four

Step-by-step 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,

$a\times \frac{\pi }{180}=r$

It is given that the $a=45$

$r=\frac{\pi}{180}\times a= \frac{\pi}{180}\times 45=\frac{\pi}{4}$

So,$r=\frac{\pi}{4}$

Answer 2

Answer:

$\displaystyle \frac{π}{4}$

Step-by-step explanation:

$\displaystyle [45°][\frac{π}{180°}] = \frac{45}{180}π = \frac{π}{4}$

Degrees to Radians

$\displaystyle \frac{π}{180°}$

Radians to Degrees

$\displaystyle \frac{180°}{π}$

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