The area of the square ABCD is
.
Find the perimeter of the circle inscribed inside this square.
Give your answer to 2 decimal places.
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We know that the area of a square is given by A = x 2 where x is the side length. So
9 π = x 2
x = 9 π = 3 π
If a circle is inscribed in a square, the diameter of the circle is equal to the side length of the square. The circumference of a circle is given by c = π d where d is the diameter. So
c = π ∗ 3 π ≈ = 1 6 . 7 0