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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 xcm. The area of the circle is 56cm. work out x

Sagot :

Answer:

The side of the square is 5.971 cm

Step-by-step explanation:

If the square fits the circle exactly, then its diagonal is equal to the diameter of the circle. Since the side of the square has a length of  cm, then it's diagonal have the length of  cm. Using the circle's area we can find the diagonal of the square.

Since the diameter of the circle is the same as the diagonal of the square, then.

The side of the square is 5.971 cm