the ratio of the diameters of two circles is 3:4.find the ratio of their circumferences
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Answered by
67
,
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!! :-)
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!! :-)
Deepanshu8256:
pls mark as brainlist answer
Answered by
186
ratio of their diameters = 3:4
let the diameters be
d1 = 3x and d2=4x
so the ratios will be
r1=3x/2 and r2=4x/2
r1=3x/2 and r2=2x
circumference of a circle = 2×pi× radius
ratio of their circumferences = 2×pi×r1/ 2×pi×r2
=r1/r2
=3x/2/2x
= 3x/4x
=3:4
hope it helps...
let the diameters be
d1 = 3x and d2=4x
so the ratios will be
r1=3x/2 and r2=4x/2
r1=3x/2 and r2=2x
circumference of a circle = 2×pi× radius
ratio of their circumferences = 2×pi×r1/ 2×pi×r2
=r1/r2
=3x/2/2x
= 3x/4x
=3:4
hope it helps...
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