This week's maths problem

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Problem of the week

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On Friday of each week we will post a new maths challenge.
You may submit your solution by the following Thursday.
Each problem contains two different levels of difficulty. You will be awarded from 2 to 12 points for a full answer.
Each series contains 12 problems before the stage winner is determined.
Your score will be published here.

In each series we will give away 3 books as prices. The prices will be drawn by lot among the best ten participants of the series. The books are kindly sponsored by Buchdienst Rattei of Chemnitz.

Suggestions for problems are welcome.

Deadline is 30th. of March 2023.

German version - Italian version - French version - Spanish version  Hungarian Version Russian version  --> 中文/Chinese <--

Series 62

problem 744

Dürer letter
"I have brought you a construction of a letter. It's one of the versions of the letter P that Dürer designed," said Maria and Bernd's grandpa.

To begin with, draw a square ABCD with side length a (here a = 10 cm). The points I and J bisect the sides of the square. The six larger circles each have the radius a/10. The two smaller circles each have the radius a/30. Point R is the centre of the green semicircle. Point S is the centre of the blue semicircle.

What is the circumference (inside and outside) of the letter - 8 blue points.
What is the area of the letter - 8 red points?

Deadline for solution is the 30th. March 2023.

-> Enigma <--

https://www.schulmodell.eu/images/stories/mathe/horst/raetsel.php

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adress:
Thomas Jahre
Stollberger Strasse 25
09119 Chemnitz
Germany

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post address: Thomas Jahre Chemnitzer Schulmodell Stollberger Straße 25 09119 Chemnitz Deutschland/Germany

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