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 21th. March 2024.


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

Series 65

problem 780

 

780 780 rot

"Look, I've constructed the next letter of the alphabet based on Albrecht Dürer's instructions," said Maria and Bernd's grandad. "It looks really good again," they both said.
It starts with the square ABCD, here a = 10 cm was used. The part of the letter that runs upwards is a/10 wide and is exactly in the centre of the square. The lower circles have a radius of a/10. The bar at the top is a/30 wide. The small circles also have a/30 as their radius. The auxiliary lines on the left and right of the square are each a/10 away from the sides of the square. The two large circles each have a diameter of 9/20 a.
What is the area and circumference of the letter below the points O and K - the shaft. 8 blue points.
What is the area of the upper part (crossbar with curves) of the letter? 8 red points.

Deadline for solution is the 21th. March 2024.

 

 


-> Enigma <--

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

 

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You can also send a paper copy of your solution as long as it is postmarked on or before the deadline.
adress:
Thomas Jahre
Paul-Jäkel-Straße 60
09113 Chemnitz
Germany


Links:

http://www.wurzel.org/

https://www.facebook.com/ArchimedesLab

http://people.missouristate.edu/lesreid/potw.html

post address:

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