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Each circle has radius 1. What is the area of the green region in the following image?

+3 votes
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Each circle has radius 1. What is the area of the green region in the following image?

What is the area of green region

posted Mar 22, 2017 by Salil Agrawal

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3 Answers

+2 votes
 
Best answer

The area of the green section is 8 - 2(pi) as follows:

enter image description here

answer Mar 23, 2017 by George Davros
+1 vote

The big square can be cut into 4 parts such that each smaller square will have a circle in it.
the area of the smaller square = 2x2 = 4units and that of the circle is π units.
subtracting the 2 gives us double the green shaded area inside that smaller square = 4 - π units
Therefore the green shaded area in each smaller square = (4 - π)/2 units.
The total area therefore is 4 times this area = 4*(4 - π)/2 = 8 - 2π units .

answer Mar 23, 2017 by Tejas Naik
0 votes

area should be 8-2π

answer Mar 22, 2017 by Deepak Mishra
How did you arrive at this answer?
take one circle and a square containing 1/4th of circle and it will also divide the associated green area in two parts. The area of this part will be 1^2(Area of the sq with side=1) -π*1^2/4(1/4th of circle area). There will be 8 such sections thus total Area will be
8-2π.



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