Radian/Degree Conversion Problems
Easy
What is 2° in Radians?
2° X _π_ = _π_
180 90
First you would multiply acorss to get 2pi/ 180, then simplify be taking 2 out of both, to be left with π/90
What is 18° in Radians?
18° X _π_ = _π_
180 10
Multiply acrosee to get 18π/180, then simplify by taking 18 out of both, so you would be left with π/10
What is 30° in Radians?
Medium
What is _5π_ in Degrees?
6
_5π_ X 180 = 150°
6 π
The π's would cancle out, then you would mulitply across to get 900/6. Then you divide both the bottom and top by 6. you are left with 150/1. So 150°.
What is _2π_ in Degrees?
10
_2π_ X 180 = 36°
10 π
The π's would cancel out, then you would mulitply across to get 360/10. Then you divide both the bottom and top by 10. you are left with 36/1. So 36°
What is _5π_ in Degrees?
2
Hard
What is 650° in Radains?
650° _π_ = _π_
50 13
Multiply acrose to get 650π/50, then simplify by taking 50 out of both the top and the bottom. So then you would be left with π/13
What is _17π_ in Degrees?
2
_17π_ X 180 = 1530°
2 π
The π's would cancel out, then you would mulitply across to get 3060/2. Then you divide both the bottom and top by 2. you are left with 1530/1. So 1530°
What is 152° in Radians?
Real life example:
Zac Efron has a photo shoot. He is at the mall now, and the photo studio is 5 blocks away. He must turn 35 degrees left when he leaves the building. How many radians must he turn?
What is 2° in Radians?
2° X _π_ = _π_
180 90
First you would multiply acorss to get 2pi/ 180, then simplify be taking 2 out of both, to be left with π/90
What is 18° in Radians?
18° X _π_ = _π_
180 10
Multiply acrosee to get 18π/180, then simplify by taking 18 out of both, so you would be left with π/10
What is 30° in Radians?
Medium
What is _5π_ in Degrees?
6
_5π_ X 180 = 150°
6 π
The π's would cancle out, then you would mulitply across to get 900/6. Then you divide both the bottom and top by 6. you are left with 150/1. So 150°.
What is _2π_ in Degrees?
10
_2π_ X 180 = 36°
10 π
The π's would cancel out, then you would mulitply across to get 360/10. Then you divide both the bottom and top by 10. you are left with 36/1. So 36°
What is _5π_ in Degrees?
2
Hard
What is 650° in Radains?
650° _π_ = _π_
50 13
Multiply acrose to get 650π/50, then simplify by taking 50 out of both the top and the bottom. So then you would be left with π/13
What is _17π_ in Degrees?
2
_17π_ X 180 = 1530°
2 π
The π's would cancel out, then you would mulitply across to get 3060/2. Then you divide both the bottom and top by 2. you are left with 1530/1. So 1530°
What is 152° in Radians?
Real life example:
Zac Efron has a photo shoot. He is at the mall now, and the photo studio is 5 blocks away. He must turn 35 degrees left when he leaves the building. How many radians must he turn?
