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19 June, 20:46

The largest possible circle is cut out of a square whose side length is 8 feet. What will be the approximate area, in square feet, of the remaining board?

5 FT 2 squared

10 Ft 2 squared

15 Ft 2 squared

20 Ft 2 Squared

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  1. 19 June, 22:08
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    20ft ^2 (squared)

    Step-by-step explanation:

    We deduct the circle area from the square area but first find out the radius triangle segment the 1/diagonal of the square. To find the hypotenuse h = c=r

    h^2 = c = a + b

    h^2 = 8^2 + 8^2

    h^2 = √64 + √64

    h^2 = √128 = 11.313708499/3 = 3.77123616633

    r = 5.65ft or 5.66ft rounded up

    Square area formula = L x W = 8ft x 8ft = 64ft^2

    Circle area formula = A=πr2 = (π = 3.14159265359 (3.77123616633x 3.77123616633) = 14.2222222222 x 3.14159265359 = 44.680428851

    A = 14.2 x π

    A = 44.68ft

    64 - 44.68 = 19.32ft^2

    The answer must be 20ft ^2 squared.
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