ratio is 18 to 6 which is 3 to 1.
Whatever the ratio of perimeters of the similar figures, the areas will be in the ratios squared. Examples: * if the figures have perimeters in a ratio of 1:2, their areas will have a ratio of 1²:2² = 1:4. * If the figures have perimeters in a ratio of 2:3, their areas will have a ratio of 2²:3² = 4:9.
Since the scale factor of the moon to the earth is 1:4, then the ratio of their areas will be the scale factor squared or 1:16. The ratio of their volumes will be the scale factor cubed or 1:64.
If the diameter of a circle is quadrupled, the circle's area goes up 16 times as area is proportional to diameter squared. Remember area = pi /4 times diameter squared -------------------------------------------------------------------------- In any ratio of shapes: whatever the ratio of the lengths, the ratio of the areas is the square of that ratio. In this case, the ratio is 1:4, so the areas are in the ratio of 1²:4² = 1:16; ie as the length of the diameter is quadrupled (ratio 1:4), the area becomes 16 times bigger (1:16).
area of triangle 1 would be 16 and the other triangle is 9 as the ratio of areas of triangles is the square of their similar sides
I guess you mean the ratio of the areas; it depends if the 2 rectangles are "similar figures"; that is their matching sides are in the same ratio. If they are similar then the ratio of their areas is the square of the ratio of the sides.
Question: In figure, what is the ratio of the areas of a circle and a rectangle if the diagonal of rectangle is equal to diameter of circle.
If you are trying to find the ratio of the lengths of two similar rectangles, divide the length of one side of one rectangle by the corresponding side length of the other rectangle. To find the ratio between their volumes, divide the volume of one rectangle by the volume the other rectangle. To find volume, multiply the width of the rectangle by the length of the rectangle.
If you are given two similar rectangles, one with all measurements and the other with only one, you first need to find the conversion ratio. Let's call the rectangle that you know everything about, rectangle A, and the other rectangle B. You take the ratio of the side of rectangle B to rectangle A. You then multiply the length of rectangle A by this value, to find the length of rectangle B.
You calculate the areas of two shapes and then divide one area by the other to find the ratio of their areas.
An example of a ratio would be 1:2, say you have two squares, one of the side lengths on the square is 4 inches, the other is 2 the ratio of the smaller rectangle to the larger rectangle is 1 to 2, or 1/2 of the larger rectangle.
Whatever the ratio of perimeters of the similar figures, the areas will be in the ratios squared. Examples: * if the figures have perimeters in a ratio of 1:2, their areas will have a ratio of 1²:2² = 1:4. * If the figures have perimeters in a ratio of 2:3, their areas will have a ratio of 2²:3² = 4:9.
Since the scale factor of the moon to the earth is 1:4, then the ratio of their areas will be the scale factor squared or 1:16. The ratio of their volumes will be the scale factor cubed or 1:64.
Example is a 4 x 4 square which has the same perimeter as a 6 x 2 rectangle. The respective areas are 16 and 12. This would appear to indicate a ratio of 3: 1.x is the length of side of the square, so perimeter is 4x making the length + width of the rectangle 2x.If the areas are in the ratio of 4 : 3, then rectangle area is 3x2/4.Substitute any value for x, say 7, then respective areas are 49 and 147/4 ie 36.75 and the perimeter of the rectangle 14.If the 3 : 1 ratio is correct then sides of the rectangle would be 42/4 and 14/4 ie 10.5 and 3.5. These measurements would give an area of 10.5 x 3.5 ie 36.75.Yep, I'll settle for 3 : 1.
If the diameter of a circle is quadrupled, the circle's area goes up 16 times as area is proportional to diameter squared. Remember area = pi /4 times diameter squared -------------------------------------------------------------------------- In any ratio of shapes: whatever the ratio of the lengths, the ratio of the areas is the square of that ratio. In this case, the ratio is 1:4, so the areas are in the ratio of 1²:4² = 1:16; ie as the length of the diameter is quadrupled (ratio 1:4), the area becomes 16 times bigger (1:16).
Not enough information has been given but the volume of a cone is 1/3*pi*radius squared *height and its base area is pi*radius squared
The ratio of the shorter side of the rectangle to the longer side is the same as the ratio of the longer side to the sum of the two sides. And that ratio is the Golden section.
area of triangle 1 would be 16 and the other triangle is 9 as the ratio of areas of triangles is the square of their similar sides