Final answer:
π/6 radians is equivalent to 60 degrees, calculated by using the conversion ratio where 2π radians is equal to 360 degrees.
Step-by-step explanation:
To convert radians to degrees, we use the fact that 2π radians is equal to one revolution, or 360 degrees. Therefore, to find what π/6 radians is in degrees, we can set up a ratio using this relationship.
Since 2π radians = 360 degrees, then 1 radian = 360 degrees / 2π which is approximately 57.3 degrees. So, π/6 radians would be:
π/6 radians * (360 degrees / 2π radians)
= 1/6 * 360 degrees
= 60 degrees.
Therefore, π/6 radians is equal to 60 degrees.