Question

Write a function called Radians_To_Degrees which will convert an angle from Radians to Degrees. In your Lesson 06 script: a. convert 1.62 radians to degrees b. Convert pi/9 radians to degrees

Answer 1

a) 92.9 degrees

b) 20 degrees

Explanation:

Using the conversion factor;

180 degrees = pi radians

For 1.62 radians;

1.62 radians = x

pi radians = 180 degrees

Divide both expressions;

1.62/pi = x/180

pi * x = 1.62 * 180

pi * x = 291.6

x = 291.6/pi

x = 291.6/3.14

x = 92.9 degrees

Hence 1.62 radians is equivalent to 92.9 degrees

b) Recall that

pi radians = 180 degrees

pi/9 rad = y

Cross multiply

y * pi = 180pi/9

y = 180/9

y = 20 degrees

Hence pi/9 radians is equivalent to 20 degrees