5 rad = _____ degrees: Round to the nearest hundredth if necessary
5pi/8 = ________ degrees: Round to the nearest hundredth if necessary
5 rad = 5(180/pi deg)
5pi/8 rad = 5pi/8(180/pi deg)
I expect you can do the simplification.
To convert radians to degrees, you can use the conversion factor that there are 180 degrees in π radians.
Let's start with the first question:
5 radians is approximately equal to ____ degrees.
To get the answer, you can use the conversion factor mentioned above.
5 radians * (180 degrees / π radians) ≈ 286.48 degrees
So, 5 radians is approximately equal to 286.48 degrees. Rounding to the nearest hundredth, the answer is 286.47 degrees.
Now let's move on to the second question:
5π/8 radians is equal to ________ degrees.
To solve this, we need to multiply the radian measure by the conversion factor.
5π/8 radians * (180 degrees / π radians) ≈ 101.81 degrees
So, 5π/8 radians is approximately equal to 101.81 degrees. Rounding to the nearest hundredth, the answer is 101.81 degrees.