In the square QRST, QR= 4. Find the shaded area if Q,R,S,T are the centers of the area that constitute the figure.?

Options are;

A.16-6pie

B.16-4pie

C.6-8pie

D.16-2pie

Please give complete solution to this question.

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10 Answers

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  • 3 months ago
    Favourite answer

    The area of the square = 4*4=16.

    The 1/4 circles make up a circle of r=2

    area of the circle =pi*R^2=4pi

    shaded area =16-4pi

  • 3 months ago

    shaded_area = square - disk

    shaded_area = (4 * 4) - (π.r²) → where r is the radius of the disk (red - yelow - green - cyan)

    shaded_area = 16 - π.r² → where: r = (QR/2) = 4/2 = 2

    shaded_area = 16 - 4π ← b) answer

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  • 3 months ago

    If you shift the four corners around, you can see this is equivalent to taking the area of the square (sides = 4) and subtracting a circle (radius = 2).

    4² - π(2²)

    = 16 - 4π

    Answer:

    B. 16 - 4π

    P.S. Please don't misspell the Greek letter π (pi) with an ending 'e'. One is a mathematical constant and the other is a baked dish with pastry and a filling.

    π = pi

    🥧 = pie

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  • 3 months ago

    solving its radius

    given QR = 4

    r = QR/2 = 4/2 = 2

    solving the quarter area of a circle.

    A = 1/4πr^2A = 1/4π(2)^2 = π

    Area of square 

    A = S^2 = 4^2 = 16

    Total Area of 4  quarter circle = 4A = 4π

    solving the area of a shaded region.

    A =Area of square - total Area of 4 quarter circle 

    A = 16 - 4π Answer//

    Answer is B 16 - 4pie

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  • 3 months ago

    The shaded area=4^2-4[pi(2^2)/4]=16-4pi.

    Ans. B

  • Philip
    Lv 6
    3 months ago

    Let TS be the x-axis with T at the origin (0,0). Let TQ be the y-axis with Q at (0,4).

    Then r is at (4,4) and S is at (4,0). The sum of all non-shaded areas is a circle with

    radius = 2 whose area = pi(2^2) = 4pi. The square's area = 4^2. The shaded area = square's area - circle's area = 16-4pi. Option B. shows the correct answer. 

  • ted s
    Lv 7
    3 months ago

    "Anas" , π is spelled ' pi '

  • Ash
    Lv 7
    3 months ago

    Area of shaded area = Area of square - Area of 4x quarter circles

    = (4*4) - 4*¼(π2²)

    = 16 - 4π

    Answer B

  • 3 months ago

      In the square QRST, QR = 4.

      Find the shaded area if Q, R, S, and T are

      the centers of the area that constitute the figure.

      The answer option is B.

      Options given are 

      A. 16 - 6π, B. 16 - 4π, C. 16 - 8π, and D. 16 - 2π

  • sepia
    Lv 7
    3 months ago

     In the square QRST, QR= 4. 

     Find the shaded area if Q, R, S, and T are 

     the centers of the area that constitute the figure.

     The answer option is B.

     Options given are A. 16 - 6π,  B. 16 - 4π, C. 16 - 8π, and D. 16 - 2π

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