Question

Write the measure in degrees.

37°
π radians
5°
108°
A) 37, 180, 5, 108
B) 37, 360, 5, 108
C) 37, 90, 5, 108
D) 37, 45, 5, 108

Answer 1

The measure in degrees for the given angle measures are 37°, 180°, 5°, and 108°.

Step-by-step explanation:

The angle measure in degrees can be found by multiplying the angle measure in radians by π and then converting it to degrees. A full revolution is equivalent to 2π radians or 360 degrees. Therefore, given the angle measures:

• 37° = 37° × (1π/180) = 0.648π radians
• π radians = 180°
• 5° = 5° × (1π/180) = 0.087π radians
• 108° = 108° × (1π/180) = 1.884π radians

Therefore, the measures in degrees are 0.648π, 180°, 0.087π, and 1.884π, which can be approximated as 37°, 180°, 5°, and 108° respectively.