Question

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

Answer 1

Answer:

C.  168.75 degrees

Step-by-step explanation:

Answer 2

Answer:

x = 168.75°

Step-by-step 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:

$\displaystyle x=\frac{15}{16}\pi$

Multiplying by 180/π:

$\displaystyle x=\frac{15}{16}\pi\cdot \frac{180}{\pi}$

Simplifying:

$\displaystyle x=\frac{15*180}{16}$

x = 168.75°