In a regular sized, 360° circle, there are 17 important angles in both degrees and radians. YAY!
DEGREES:
It seems like a whole lot of random numbers at first glance, however take another look:
- Each red angle (4 quadrants) increase by 90°
- The 3 angles in between each of the quadrants increase by 15° each time
- Most are angles we've learned or seen many times in the past
RADIANS:
Again, just look like a bunch of numbers all thrown together with some pi. Not literally unfortunately!
- The 4 quadrants, is just the circle split into 4. 2π is actually 4π/2 in disguise.
- Each of the pieces with the same base (3,4,6) is just half the circle split into that many pieces
MY ADVICE:
Anaylze each of the circles carefully, degrees and radians, eventually you'll be able to see the patterns and understand the concept. There's little tips and tricks for everything!
Oh, and by the way, don't be fooled, it looks like there's only 16 angles because there's only 16 lines. But 0° and 360° are on the same line, just like 0π and 2π. It went through the entire circle!
What a pleasure to read this Madison! You have obviously spent some time noticing the patterns in the B17 that helps us make sense of it all. You also used the tools very well - gorgeous images, correct math symbols, and my favourite colours! Best line for me was: "It seems like a whole lot of random numbers at first glance, however take another look". Spoken like a true mathematician!
ReplyDeleteI actually really enjoyed this explanation very much. I found that I learn faster by reading things rather than just listening and writing notes. This is going to make my life way easier.
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