Convert the following angle from degrees to radians. Express your answer in simplest form.
30, degrees
30
∘
To convert from degrees to radians, we use the formula:
radians = degrees * (π/180)
For 30 degrees:
radians = 30 * (π/180)
We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 30:
radians = (30/30) * (π/180)
radians = 1 * (π/180)
So, 30 degrees in radians is π/180 radians.