Pi R Squared
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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
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
snehalu
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
the same ratio 3 : 4
steffi
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