Question

Convert the degree measurement to radians. Express the answer as a multiple of π.

1) π/6
2) π/5
3) π/3
4) π/4

Answer 1

The question's provided angles are already in radian form as multiples of π, so no conversion is needed. To convert any degree measure to radians, multiply by (π/180). The provided angles represent fractions of a full 2π radian rotation.

Step-by-step explanation:

The student is asking to convert degree measurements to radians and express the answers as multiples of π. The provided angles are already in the form of multiples of π, so no further conversion is necessary. However, to clarify the conversion process between degrees and radians, one can use the formula:

Radians = Degrees × (π/180)

Here are a few key points to remember for converting between these two units:

• 1 revolution equals 2π radians or 360 degrees.
• 1 radian is approximately equal to 57.3 degrees.
• To convert from radians to degrees, a factor of (180/π) is used.

For the angles in question, since they are already presented as multiples of π, they are effectively in radian measure, and so the task is already complete. To check if the answer makes sense, consider the full circle (revolution), which is 2π radians. Thus, π/6, π/5, π/3, and π/4 are all valid fractions of a full revolution, expressed in radians.