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g g asked in Science & MathematicsMathematics · 1 decade ago

The ratio of the radii of two circles is 3:4.find the ratio of their circumference?

6 Answers

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  • 1 decade ago
    Favorite Answer

    Hi,

    When comparing 2 similar figures, the ratio of any corresponding lengths will have the same ratio. So the ratio of the circumferences would also be 3:4.

    However, the ratio of the circle's areas would be those numbers squared, so the ratio of their areas would be 3²:4² = 9:16.

    If you were comparing one rectangle to a similar rectangle, if their lengths had the ratio of 3:4, then their widths, their perimeters and their diagonals would all have the ratio 3:4, but their areas would have the ratio 9:16.

    If you went to 3 dimensional figures like a rectangular prism, if their lengths had the ratio of 3:4, then their widths, their heights, their corresponding perimeters and their diagonals would all have the ratio 3:4, but their surface areas would have the ratio 9:16. Their volumes would have the original side ratio cubed, 3³:4³ = 27:64.

    That's more than you asked but I hope it helps!! :-)

  • chowen
    Lv 4
    5 years ago

    Circumference of a c ircle = 2*pi*r So the cirumference of the circle with radius 8 cm = 2*22/7*8 and the circumference of the circle with radius 12 cm = 2*22/7*12 enable the radius of 8cm circle be R1 and the different one be R2 Then there ratio is R1/R2 = (352/7) divided by technique of ( 528/7 ) = (352/7) * (7/528) = 352/528 ( as 7 receives cancelled as a results of multiplication signal ) = a million/2 ( at the same time as simplified ) for this reason the ratio of both circumferences is a million:2 That turned right into a really user-friendly one

  • 1 decade ago

    the formula for circumference of a circle = 2*pie*r= 2*22/7*r= 44r/7

    let the radii of two circles be r1 and r2 respectively,r1 :r2 = 3:4

    circumference of first circle= 44*r1 / 7

    circumference of second circle = 44* r2 /7

    their ratio = 44*r1 / 7 * 44* r2 /7

    = r1/r2

    = r1:r2

    = 3:4

    ratio of circumferences is 3:4

  • sv
    Lv 7
    1 decade ago

    the same ratio 3 : 4

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  • 1 decade ago

    silly question

    circumference=2*pie* radius

    ratio of radius=3:4

    let the first radius be 3r and second be 4r.

    let pie=#(there's no pie on th keyboard)

    circuference ratio=2#*3r/2#4r

    =3:4

  • Como
    Lv 7
    1 decade ago

    r1 : r2 = 3 : 4

    2π (r1) : 2π (r2) = 3 : 4

    C1 : C2 = 3:4

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