Daily Desmos #0 (Advanced)
Creator
Abram Jopp (@ANRTheBigBoy)
Difficulty
Advanced
On to the Challenge!
This graph has caused quite the stir on twitter! Several different solutions are in the original thread by Abram.
Can you create the following graph using desmos.com or some other graphing tool? If you’re victorious, leave us a note in the comments when you’re done.
I figured this out with the help of a couple of my teachers at school. To create the semicircles’ borders, I used x^2 + y^2 = 16 for the smaller circle, and x^2 + y^2 = 25 for the top, both with range {0 < y} to keep the visible area above 0. The shading was a bit tricky, but it can be done in three parts – The first two were 0<y<sqrt(25-x^2) with domains {-5<x<-4} and {5<x<4}. This accounts for the edges of the shaded area. Then I did sqrt(16-x^2) < y < sqrt(25-x^2) with no domain, since it only fills the middle area between the two semicircles.
The challenge is trying to do it all with one line.
https://www.desmos.com/calculator/gjxfeynzqq
Nicely done!