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A square fits exactly inside of a circle with each of it's vertices being on the circumference of the circle. The square has sides of length x cm. The area of the circle is 56cm^2. Work out x

1 Answer

7 votes

Answer:


5.971\ cm

Explanation:

The computation of x is given below:

As we know that


Area = \pi r^2\\\\56 = \pi r^2\\\\r^2 = (56)/(\pi) \\\\r = \sqrt{(56)/(\pi) }

= 4.22

Now the diameter of the square would be similar to the diameter of the circle

So,


x√(2) = 2* r \\\\x = (2* r)/(√(2) ) \\\\= (2* 4.22)/(√(2) ) \\\\= 5.971\ cm

User Casimir
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