top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

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

+1 vote
2,050 views

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

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

6 Answers

+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
answer Jun 25, 2015 by Ankit Kamboj
yes but if we raplace " r " by 12 in the equation we get that 900 = 900 not 12.
commented Mar 5, 2018 by Juan Carlos Saavedra
+1 vote

12cm

-Anonymous person

answer Jul 12, 2015 by anonymous
+1 vote

The yellow radius is 12 cm.

answer Sep 8, 2017 by Halil Akansel
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

answer Oct 26, 2016 by George Davros
0 votes

The answer is 12 cm. 36/3 because the yellow radius fit exatly 3 times proyected on the blue diameter.

divide the square in a 3 by 3 matrix this give 36 cms. squared divided by 9 =144 the square root of this is 12

answer Mar 5, 2018 by Juan Carlos Saavedra
–1 vote

9cm is the radius

answer Sep 22, 2016 by Sachite Anand

how is possible

commented Sep 22, 2016 by Raja Kumar S



Similar Puzzles
0 votes
In a square with a side length of 1, two quarter circles are drawn...........What is the radius of the inscribed circle?

In a square with a side length of 1, two quarter circles are drawn and a circle is inscribed between the quarter circles, as shown in the diagram.
What is the radius of the inscribed circle?

enter image description here

0 votes
A square has side length equal to 1 meter. A circle is constructed through one corner of the square and tangent.........

A square has side length equal to 1 meter. A circle is constructed through one corner of the square and tangent to the opposite two sides of the square. What is the area shaded in blue below, which is the area contained by the square and circle excluding the region where the two shapes overlap?
enter image description here

0 votes
A square has a side length of 7. On each corner, a quarter circle with radius 3 is constructed with the corner........

A square has a side length of 7. On each corner, a quarter circle with radius 3 is constructed with the corner as its center. And on the midpoint of each side, a semicircle with radius 2 is constructed with the midpoint as its center. What is the difference between the orange shaded areas and the blue shaded areas?
enter image description here

+1 vote
ABCD is a square with side length R. Find the radius of the red circle in terms of R?

ABCD is a square with side length R. Find the radius of the red circle in terms of R?
enter image description here

0 votes
A circle contains two tangent semicircles whose diameters are..........what is the combined area of the two semicircles?

A circle contains two tangent semicircles whose diameters are parallel chords. If the circle has an area equal to 1, what is the combined area of the two semicircles?

enter image description here

...