Math Riddle: What Is the Side of the Square Which Has 5 Circles With 6.5 Cm Radius?
Test your geometry skills with this picture riddle.
In the given picture you will see a square which has 5 circles inside it. The radius of the circle is given as 6.5 cm. Can you find the value of x?
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Answer: 31.38
Explanation:
To find the side of the square we will first calculate the diagonal of the square and using that we will find the value of x..
So first we take the circle at the end and draw a right angle triangle as shown below;
In this two sides are equal with 6.5 cm so the hypotenuse will be;
H^2 = R^2 + R^2
H^2 =(6.5)^2 + (6.5)^2 = 42.25 + 42.25 = 84.5
H = 9.19 cm
Then diagonal of square will be;
H + R + R + R + R + h = 9.19 + 6.5 + 6.5 + 6.5 + 6.5 + 9.19 = 44.38
So side of square= (44.38) /√2
=31.38 cm = Answer.