avi46
04.06.2020 •
Mathematics
A square fits exactly inside a circle with each of its vertices being on the circumference of the circle.
The square has sides of length x cm.
The area of the circle is 56cm squared.
Work out value of x.
Give answer correct to 3 significant figures.
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Ответ:
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, as shown below:
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
Ответ: