The corners of a square lie on a circle of diameter D = 0.38 m. The side of the square has a length L. Find L.
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The corners of a square lie on a circle of diameter D = 0.38 m. The side of the square has a length L. Find L.

[From: ] [author: ] [Date: 11-10-06] [Hit: ]
Find L.-if the corners of the square lie on the circle, then the diagonal length of the square is the diameter of the circle.this forms a right-angled triangle with hypotenuse 0.therefore, using pythagoras,......
The corners of a square lie on a circle of diameter D = 0.38 m. The side of the square has a length L. Find L.

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if the corners of the square lie on the circle, then the diagonal length of the square is the diameter of the circle.
this forms a right-angled triangle with hypotenuse 0.38m and remaining sides both of length L
therefore, using pythagoras,

L^2 + L^2 = 0.38^2
2*L^2 = 0.1444
L^2 = 0.0722
L = 0.27 metres (2 dp)

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The square root of : 0.19 X 0.19 + 0.19 X 0.19 = 0.0361 X 2 = 0.0722
Square root of 0.0722 = 0.2688
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