This week's maths problem

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 17th August 2017.

German version - Italian version - French version - Spanish version

 

Series 45

problem 536

 

537 blau
“What an interesting construction”, Mike said to Lisa.
“Yes, I like it, too. It’s an equilateral triangle. The big circle ist the incircle that is tangent to three smaller circles which, as you can see, each touch two sides of the triangle.”
There are 8 blue points for calculation the blue area that is not covered by cirles given a triangle of 10 cm sides.
“How do you like my construction?”, Mike asked.
“I like it a lot.”, Lisa answered.
Here you can see it:

537 rot

There are 8 red points for calculation the red area. Line segments AB, AE, AD, BE and BD are 6 cm each. The white circles touch each other as well as the big arcs.

 


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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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Kommentare   

+3 #1 Cora 2014-11-13 23:03
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