Question

Is there an easy way to convert degrees to radians?

Answer 1

see explanation

Explanation:

It is a matter of establishing a link between the two conditions then changing the representation of that link to suit your objective.

The link is how many of each is in either `1/2` a circle or if you prefer, all of a circle

There are 360 degrees in a circle.

There is `2pi` radians in a circle.

These for a consistent ratio

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`color(red)("Change radians to degrees:")` `-> ("given radians") times ("Degrees")/("Radians")`

`("given radians") times (360^o)/((2pi)`
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`color(red)("Change degrees into radians:")` `-> ("given degrees") times ("Radians")/("Degrees")`

`("given degrees") times (2pi)/(360^o)`
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So you just put what you wish to convert into as the top of the fraction (Numerator). A lot of people use 3.142 as an approximation for `pi`.