The ratio of the diameters of two
Circle is 3:7 find the ratio of
their Circumferences.
Answers
Answer:
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.