Question

Which expression converts 8 radians to degrees?

a) 8 times pi
b) 8 times π/180 degrees
c) 8 times 180 degrees
d) 8 times 180/π degrees

Answer 1

The expression that converts 8 radians to degrees is 8 times 180/π degrees (option d). To convert radians to degrees, we use the conversion factor 1 radian = 180/π degrees. Therefore, to convert 8 radians to degrees, we multiply 8 by 180/π.

Step-by-step explanation:

The expression that converts 8 radians to degrees is 8 times 180/π degrees (option d).

To convert radians to degrees, we use the conversion factor 1 radian = 180/π degrees. Therefore, to convert 8 radians to degrees, we multiply 8 by 180/π.

8 x 180/π = 1440/π ≈ 458.37 degrees.