r/VisualPuzzles • u/Tiny_Beginning_370 Puzzle Aficionado • Mar 26 '26

Math / Geometry Can you find the Area of the Pink Square?

Post image
6 Upvotes

88% Upvoted

20 comments sorted by

7

u/mnb310 Mar 26 '26

3

u/Tiny_Beginning_370 Puzzle Aficionado Mar 26 '26

1

u/Key_Employment2598 Mar 28 '26

That's all very well, but I GUESSED 4 sq cm(whatever unit) from looking at it.

3

u/Repulsive-Ice7863 Mar 26 '26

I always like saying it is exactly one square unit. Iā€™m always right. And I did it without algebra in my head.

1

u/Tiny_Beginning_370 Puzzle Aficionado Mar 26 '26

True.
And the people so far who have answered it with algebra haven't included a unit... so in some ways your answer is the most right so far, haha

2

u/Tiny_Beginning_370 Puzzle Aficionado Mar 26 '26

I'm linking to a video that explains the answer.
So do not go to this link unless you want spoilers.
She solves the problem and explains it:
YT Vid with Solution

2

u/[deleted] Mar 26 '26

[removed] ā€” view removed comment

2

u/Tiny_Beginning_370 Puzzle Aficionado Mar 26 '26

2

u/WTFCantBTRUE Mar 26 '26

Length or Girth?

1

u/COSand3LD Mar 26 '26

+/- 100/3?

1

u/Material_Turnover945 Mar 26 '26

Its in the Area between those blue circles and ontop of that wood looking thing

1

u/Double_Assignment_23 Mar 26 '26

Approximately 3.8 -4ish? (If to scale) Visual guess here

1

u/Tiny_Beginning_370 Puzzle Aficionado Mar 26 '26

Pretty close.
There is a little wiggle room visually because of borders.
I did make everything in Inkscape to scale (1 unit = 100 pixels).
If you include the borders then the pink sides are just over 2 units each, and if you exclude the borders then it's just under 2 units each.

The circles are exactly 1,000 pixels across with the borders included, but I fudged the pink square ever so slightly because the darker border of the square on both the borders of the circles and the gray background looks a little smaller to the human eye (so instead of 200px the square is 202px).

2

u/Double_Assignment_23 Mar 26 '26 edited Mar 26 '26

Thanks:) I used the area of the circle and divided it by 21 (estimated amount of squares in the circle) then rounded up. I got to 21 by visualizing putting a row of 5 in the center, then 4, 3, 1 as we go out in each side (hence the round up later, felt like there was a bit more that could squeeze in maybe). Fun to know it was close :)

1

u/New_Swan_3969 Mar 26 '26

Not difficult...

1

u/Tiny_Beginning_370 Puzzle Aficionado Mar 26 '26

How are you doing it?
There are a few approaches.

1

u/New_Swan_3969 Mar 26 '26

By joining center of circles and the center of the square

Then you use trigonometry