ABCD IS A square of side 2 root 2 and inscribed in a circle. Find the area of shaded region
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using pyatharous theroem md circle property
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The area of the shaded region will be 4.56 cm²
Step-by-step explanation:
Given the side of the square = a = 2√2 = √8 cm
=> Area of the square = side² = a² = 8 cm²
We know that the length of the diagonal of a square is given by,
d = a√2
=> d = √8 x √2 = √16 = 4 cm
Since the square is inscribed in a circle, hence the diagonal of the square will be the diameter of the circle,
=> radius = d/2 = 4/2 = 2 cm
Area of the circle = πr²
= 3.14 x 2²
= 12.56 cm²
Hence the area of the shaded region will be
Area of circle - Area of the square
= 12.56 - 8
= 4.56 cm²
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@GauravSaxena01
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