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Lê Quốc Trần Anh Coordinator

03/01/2018 at 17:04
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 A square with a diagonal of length 7 units is inscribed in a circle. What is the positive difference between the area of the square and the area of the circle? Express your answer as a decimal to the nearest hundredth.




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  • ...
    Alone 03/01/2018 at 19:23

    7

    The area of the circle is:

        \(\left(7:2\right)^2.3,14=38,465\)

    The area of the square is:

       \(\left(\sqrt{\dfrac{7^2}{2}}\right)^2=\dfrac{49}{2}\)

    So the answer is:\(\left|38,465-\dfrac{49}{2}\right|=\left|13,965\right|\approx13,97\)

    Lê Quốc Trần Anh selected this answer.
  • ...
    Asuna Yuuki 04/01/2018 at 15:52

    The area of the circle is:

        (7:2)2.3,14=38,465(7:2)2.3,14=38,465

    The area of the square is:

       (√722)2=492(722)2=492

    So the answer is:∣∣∣38,465−492∣∣∣=|13,965|≈13,97

  • ...
    FA Liên Quân Garena 08/01/2018 at 21:47

    7

    The area of the circle is:

        (7:2)2.3,14=38,465

    The area of the square is:

       ⎛⎝√722⎞⎠2=492

    So the answer is:∣∣∣38,465−492∣∣∣=|13,965|≈13,97


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