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There are two tangent semicircles as per Image. The side length of square is 36cm. What is the radius of yellow circle?

+1 vote
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In the image below there are two tangent semicircles. The side length of the square is 36cm.
Radius of Yellow Circle

What is the length of the radius of the yellow circle?

posted Jun 13, 2015 by Pardeep Kohli

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5 Solutions

+3 votes
 
Best answer

Let the radius of yellow semicircle be r,

join the two centers of yellow and blue semicircles and this line intersets them at the point of tangency

hence we get a right triangle with hypotnuese = 18 + r
base =18
perpendicular = 36-r

     applying pythagoras theorem we get (18+r)^2 = 18^2 + (36-r)^2

 we get r= 12 cms
solution Jun 25, 2015 by Ankit Kamboj
+1 vote

12cm

-Anonymous person

solution Jul 12, 2015 by anonymous
0 votes

9cm is the radius

solution Sep 22, 2016 by Sachite Anand

how is possible

0 votes

Answer = 12 cm

Confirmed by simply measuring it with a ruler:

The yellow 1/2 circle extends 2/3 along the side of the square,
Thus 2/3*36 = 24 cm diameter
Therefore 1/2* 24 = 12 cm.radius

solution Oct 26, 2016 by George Davros
0 votes

The yellow radius is 12 cm.

solution Sep 8 by Halil Akansel



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