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Square inscribed a 30 ft diameter has a diagonal equal to 30 ft.

Use the Pythagorean theorem, and side^2 + side^2 = 30^2

2s^2 = 900

s^2 = 450

side length = square root of 450, simplify

15sqrt(2) = s

Area = s^2 = 450 square feet

Perimeter = 4s = 4*15*sqrt(2) = 60 times the square root of 2

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Q: What are the area and perimeter of a square inscribed inside a circle 30 ft in diameter?
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