Question

. Convert π radians to degrees. = ____
Ans.
π
2. Convert 150⁰ to radians. 150 = _______
Ans.
o
3. Convert 100⁰ to radians
a) 5π/9 b) π/2
c) 5π/8 d) 5π/6
4. What is 225 degrees in radians?
a) 7π/4 b) 5π/4
c) 3π/4 d) 5π/3
5. Convert the following to degrees:
-8π/5 radians =. _______
Ans.
6.
What is 7π/6 radians in degrees? = _________
Ans.
6
7π
7. What is 7π/4 radians in degrees?
a) 300 b) 135
c) 315 d) 45
8. What is 2π/3 radians in degrees?
a) 150 b) 120
c) 180 d) 30
9. How many degrees are there in half a circle? ______
Ans.
10. If you split a circle into 6 equal parts, how many degrees will each section be?
a) 30/pi b) 60
c) 30 d) 60/pi
o o
o o
11.
radians =
Ans.
− 3
2π
12. Convert to degrees: 9π/4 = _______
Ans.
13.
Convert to radians:
Ans.
− 5
6π
14.
What is radians in degrees?
4
7π
15. To convert from degrees to RADIANS
a) multiply by b) multiply by
c) multiply by d) multiply by
180°
π
π
180°
2
π
3
π
16. How many degrees does circle have? ______
Ans.

Answer 1

Here are the answers (using deg = rad·180/π and rad = deg·π/180):

1. π radians = 180°

2. 150° = 5π/6

3. 100° = 5π/9 (choice a)

4. 225° = 5π/4 (choice b)

5. -8π/5 radians = -288°

6. 7π/6 radians = 210°

7. 7π/4 radians = 315° (choice c)

8. 2π/3 radians = 120° (choice b)

9. Half a circle = 180°

10. Circle split into 6 parts: each = 60° (choice b)

11. -3π/2 radians = -270° (interpreting the entry as −3π/2)

12. 9π/4 = 405°

13. -150° = -5π/6 (interpreting the answer shown as −5π/6)

14. 4π/7 radians = 720/7° ≈ 102.857…° (interpreting the entry as 4π/7)

15. To convert degrees → radians: multiply by π/180

16. A circle has 360°

If any of my interpretations for Q11 or Q14 are not what you intended, tell me the exact expressions and I’ll correct them.