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 12th. September 2024.

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

Series 67

problem 797

„Isn't that the same picture as the last task?" asked Maria. "Almost. The two small black circles have been added," replied Bernd. "That's right!"
The red circle is drawn into the green square ABCD (a= 10 cm). This touches the sides of the square and is divided into four equal parts by black lines. You can recognise 4 equal blue semicircles that touch the black lines and the red circle.
If you use the results of exercise 796 to help you, the exercises are quickly solved.
What are the circumference and area of the small black circle at the top right? 4 blue points
What are the circumference and area of the small black circle in the centre? 4 red points

Deadline for solution is the 12th. September 2024.

-> Enigma <--

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

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adress:
Thomas Jahre
Paul-Jäkel-Straße 60
09113 Chemnitz
Germany

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