# geometry

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find the area of one segment formed by a square with sides of 6" inscribed in a circle.

• geometry -

Area of square = 6² in² = 36 in²

r = (1/2)square diagonal
= (1/2)√(6²+6²)
= (1/2)√(72)
= √(18)

Area of circle = πr²
= 18π

Area of one of the 4 sectments
= (Area of circle - area of square)/4

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