Question

How many degrees is StartFraction 15 Over 16 EndFraction pi radians? 84.375° 93.75° 168.75° 337.5°

Answer 1

C. 168.75 degrees

Explanation:

Answer 2

x = 168.75°

Explanation:

Angle Measurement Units

To convert from different units for angle measurements, we have to recall that:

180 degrees = π radians

If we are given the angle in degrees, multiply by π/180 to convert it to radians.

If the angle is given in radians, multiply by 180/π to convert to degrees.

We are given the angle:

`\displaystyle x=(15)/(16)\pi`

Multiplying by 180/π:

`\displaystyle x=(15)/(16)\pi\cdot (180)/(\pi)`

Simplifying:

`\displaystyle x=(15*180)/(16)`

x = 168.75°