Expert Answers
flbyrne eNotes educator| Certified Educator

Use proportions to convert degrees to radians. 180 degrees is equal to `pi` radians, therefore:

`12/180=r/pi`

where r is the angle in radians equivalent to 12 degrees.

Solve for r by multiplying both sides by `pi`:

`r=((12)(pi))/180=0.2094`

Thus 12 degrees is equal to 0.2094 radians.

baxthum8 eNotes educator| Certified Educator

180˚ = `pi` radians


12˚ x `pi/180= (12pi)/180`

Therefore, now simplify `12/180` = `1/15`

This means that 12˚ = `pi/15` radians.