the distance from the center of a compact disc to the edge of the disc is 6 centimeters.?

what is the area of the compact disc

4 Answers

  • to find the area use the formula πr2 (that 2 should be superscript meaning rxr or r squared)

    where r is the radius of the circle

    so in your case;

    π =3.14

    r = 6

    =3.14 x (6 squared)

    =3.14 x 36

    =113cm squared

  • A = πr²

    A = π * 6²

    A = 36π

    A ≈ 113.09733552923255658465516179806

    The area is approximately 113.097 centimetres.

    Incidentally, I somehow managed to have @ least 1 CD & a ruler in front of me. Turns out, the radius of a compact disc is almost six centimeters.

  • Do a 2nd calculation of the void in the middle of the disc if it is required

    to get a true area..

  • area of a CD = area of the outer circle(R=6) - are of the inner circle[void](r= 1.5 / 2)

    => Pi * R^2 - Pi * r^2

    => Pi (R^2 - r^2)

    =>Pi (R + r) (R-r)

    =>22/7 (13.5 / 2) ( 10.5 / 2)

    =>3.14 * 6.75 * 5.25

    => 111.27375 sq.cm

    note: pi = 22/7 or 3.14

    a^2 - b^2 = (a+b)(a-b)

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