Convert 7π/4 radians to degrees.

Solution

Trigonometry · Easy

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°