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Answer:
Therefore,
The value of x is 5.97 cm.
Step-by-step explanation:
Given:
Let the length of side of Square be "x" cm'.
Radius of Circle be "r"
Area of Circle = 56 cm squared
pi = 3.14
To Find:
x = ?
Solution:
We know Area of Circle is given by,
Substituting the values we get
We have, a square fits exactly inside a circle with each vertices being on the circumference of the circle,
Vertex Angle of a Square is 90°.
In a Circle Diameter Subtends a Right angle,
So it's Diagonal will be the Diameter,
Substituting the values we get
Therefore,
Also we know that,
Length of Diagonal of a Square for side "x" is given by,
Substituting the values we get
Therefore,
The value of x is 5.97 cm.
