Questions: Use the conversion factor π = 180° along with the symmetry of the circle to complete the degree or radian measure of the missing angles. Give the π = 180° 240° = 2π/3 = 315° =

Use the conversion factor π = 180° along with the symmetry of the circle to complete the degree or radian measure of the missing angles. Give the

π = 180°
240° =
2π/3 =
315° =

Transcript text: Use the conversion factor π = 180° along with the symmetry of the circle to complete the degree or radian measure of the missing angles. Give the π = 180° 240° = _ 2π/3 = _ 315° = _

Solution

Solution Steps

Step 1: Convert 150° to radians

To convert degrees to radians, multiply the degree measure by π/180.

150° * (π/180) = (5π)/6 radians

Step 2: Convert 240° to radians

240° * (π/180) = (4π)/3 radians

Step 3: Convert 315° to radians

315° * (π/180) = (7π)/4 radians

Final Answer

150° = (5π)/6 radians 240° = (4π)/3 radians 315° = (7π)/4 radians

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