Question

Find the ratio of circles to triangles in the diagram below.This question page contains inputs for an unsimplified ratio and a try button. After pressing the button, if your answer is correct, it will put your answer on the page and cause the answer area to appear. The answer area will have a form with a sentence to complete.
Ratio of circles to triangles (without simplifying): _: _.

Answer 1

I don't see the diagram. Could you either upload the image or describe the figure (how many rings, how many small/large triangles, how shapes overlap, etc.)?

If you prefer to do it yourself, here is a quick method you can follow and then tell me the counts:

1. Decide what counts as a "circle" (complete closed circles only? rings? ignore semicircles?). Mark each distinct circle with a number and count them.
2. Decide what counts as a "triangle" (all sizes/ orientations? only those with 3 straight sides?). Mark each distinct triangle and count:
- first count the smallest elementary triangles,
- then count larger triangles that are unions of smaller ones,
- be careful not to double-count the same triangle from different decompositions.
3. Write the unsimplified ratio as "number of circles : number of triangles" (for example "4 : 12", do not reduce to "1 : 3").

If you upload the diagram or give the counts you get, I will compute the required unsimplified ratio and check it for you.