Math mini-contest problem for Day 1 on D.Buzz for April 2021 ๐
Math mini-contest problem for Day 1 on D.Buzz for April 2021 ๐
Fang drew 3 circles whose diameters are 3, 4, and 5 cm, respectively, and the circles intersect each other exactly once. What is the area of the region surrounded by the circles but outside the circles?
0
0
0.000
My guess is "No Solution".
I have no idea about how the circles are placed on the paper so the area surrounded but outside can't be calculated.
I guess you mean something like the yellow area here:
But I'm lazy today, so I chose a different arrangement of the 3 circles:
In this case my answer is 0: there is no surrounding area outside the circle
Ha! Nice. I thought it might be the circles in a triangle arrangement so they all touch each other. I like your solution better.
Ha, you're right, a triangle arrangement was probably meant, each circle touching each other once. The task is to find the inside area not covered by the circles. I'll stick with my shortcut for today, feel free to give the proper solution a try :D
Answer for Day 1 Math Problem
There is also another answer depending on how you interpreted the word problem (see solution).
Solution
There are two ways to draw the circles which "intersect each other exactly once" (as shown on the image). It is either the circles do not overlap each other, or the circles completely overlap one another.
Winner: @minus-pi ๐
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