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Three circles with some portions shaded red along the circumference, and a question mark

Hint:

Hg

Hint 2 (added later):

What is a common use of hint 1?

Hint 3 (added later):

°

Hint 4 (added later):

The red arcs in the top left and top right cover the same angle.

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  • $\begingroup$ Did you create this puzzle yourself, or find it somewhere? $\endgroup$ Commented Jan 12, 2023 at 21:19
  • $\begingroup$ I created it myself using GeoGebra. $\endgroup$ Commented Jan 12, 2023 at 21:20
  • $\begingroup$ Great! Just checking because sometimes people post puzzles here that look like this (just an image, not much context) because they found it somewhere and got stuck solving it. I guessed yours wasn't like that, as you mentioned aligning the circles yourself, but wanted an explicit confirmation. $\endgroup$ Commented Jan 12, 2023 at 21:39
  • $\begingroup$ Fair enough :) No guarantee the idea is unique, but it's obscure enough that I couldn't find it anywhere on Google or this stack. $\endgroup$ Commented Jan 12, 2023 at 21:46
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    $\begingroup$ @Evargalo As it turns out, it's exactly half the circle. $\endgroup$ Commented Jan 17, 2023 at 21:04

2 Answers 2

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Elaborating on @gsomani's answer,

The three diagrams show the range of temperatures with liquid water in standard pressure conditions according to three different temperature scales, as angle measures:
- Celsius (0-100°) on the top left
- Kelvin (273-373°) on the top right
- Farhenheit (32-212°) on the bottom left

Logically, the figure in the bottom right must be

the same representation for another scale of temperature. There are various options (Réaumur, Newton, centigrade...) but the most probable should be the Rankine scale, with a red arc going from 492° to 672° (i.e. for a half-circle from 132° to 312°).

Indeed, in that way:

There are 2 scales starting at the absolute zero and 2 that don't, and 2 scales where degrees have the same amplitude as °C and 2 where degrees have the same amplitude as °F.

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The red part in top image shows temperature in centigrade scale and bottom image shows temperature in fahrenheit scale. In the left images, temperature show is (0-100)°C in top and (32°-212°)°F.

The right image has red arc ranging from (-87 to 13)°C in top circle

Update: After the hint by @cap and OP,

Top Right is the same temperature range in Kelvin scale(273-373)K.

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    $\begingroup$ Nice. Given hint 4, I'm thinking the top-right is rot13(Xryiva sbe gur fnzr enatr)... $\endgroup$
    – caPNCApn
    Commented Jan 17, 2023 at 17:47
  • $\begingroup$ Very close, but the final answer isn't right. See comment from @cap which more or less completes the answer, if you want a spoiler. $\endgroup$ Commented Jan 17, 2023 at 22:31
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    $\begingroup$ Yep, update is correct. So what goes in the question mark? $\endgroup$ Commented Jan 18, 2023 at 4:52
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    $\begingroup$ @gsomani If you add the rest of Evergalo's answer to your solution, I'll accept this instead since you were first. $\endgroup$ Commented Jan 18, 2023 at 21:03

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