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What is the relationship between perimeters and areas of similar figures?
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.
What happens to the area of a circle if the diameter is quadrupled?
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).
Two triangle are similar and the ratio of the corresponding sides is 4 3 What is the ratio of their areas?
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
The diameter of the moon is approximately one fourth of the diameter of the earth find the ratio of their surface areas?
The ratio of the surface areas of two similar objects is equal to the square of the ratio of their corresponding linear dimensions. Since the diameter of the moon is one fourth of the diameter of the Earth, the ratio of their diameters is 1:4. Therefore, the ratio of their surface areas is (1/4)^2 = 1/16. This means that the surface area of the moon is 1/16th of the surface area of the Earth.
What is a golden rectangle?
A golden rectangle is a rectangle where the ratio of the length of the short side to the length of the long side is proportional to the ratio of the length of the long side to the length of the short side plus the length of the long side. It is said to have the "most pleasing" shape or proportion of any rectangle. The math is like this, with the short side = s and the long side = l : s/l = l/s+l Links can be found below to check facts and learn more. In ratio terms, the Golden Rectangle has a width/height ratio of 1.618/1.
How do you ask maths?
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.
How do you find ratio of two rectangles?
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.
How do you fine the length in a similar rectangles?
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.
What are some examples of a ratio?
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.
How do you find the ratio of areas?
You calculate the areas of two shapes and then divide one area by the other to find the ratio of their areas.
What is the relationship between perimeters and areas of similar figures?
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.
A rectangle with the same perimeter of a square has 3 quarters its areaWhat is the ratio of the breadth of the rectangle to its length?
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.
How The ratio of the heights of two similar cones is 79 Find the ratio of the following Their Radii 2) Their Volumes 3) The areas of their bases?
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
What happens to the area of a circle if the diameter is quadrupled?
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).
How is the golden rectangle to the golden section?
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.
Two triangle are similar and the ratio of the corresponding sides is 4 3 What is the ratio of their areas?
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
What do you conclude by golden ratio and golden rectangle?
conclusion
