Convert 7π/4 radians to degrees.
Solution
Problem
Convert 7π/4 radians to degrees.
To convert radians to degrees, multiply the radian measure by 180/π.
Start with:
7π/4
Multiply by the conversion factor:
(7π/4)(180/π)
The π terms cancel:
(7/4)(180)
Divide 180 by 4:
180/4 = 45
Then multiply:
7 × 45 = 315
Therefore:
7π/4 radians = 315°.
Result
315°