Convert the following angle from degrees to radians. Express your answer in simplest form.

Question

30, degrees
30
∘

Answer 1

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.