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premvikary

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The perimeter of a Pythagorean spiral, which is formed by drawing quarter circles with radii that follow the sequence of Pythagorean triples (such as 3, 4, 5, 5, 12, 13, and so on), does not have a simple, closed-form formula for an exact value.

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Q: What is the perimeter of a pythagorean spiral?
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Continue Learning about Geometry

How do you find the perimeter with one side missing?

14cm and 11cm what is the missing side using pythagorean theorem


How is the Pythagorean Theorem used in Architecture?

A2 + B2= C2 :It's used simply to find distance, area, and perimeter.


How do you find the perimeter without knowing the length of each side?

For rectangles, there are only two side lengths and the perimeter is obviously P = 2 (L + W). For squares, P = 4S. If you know the diagonal length of a rectangle, you only need one side to find the other side length using the Pythagorean theorem (d squared = side a squared + side b squared). If it is a square, knowing the diagonal gives you the perimeter: it is 4 times the square root of (d squared divided by 2). In other more complex figures you will need to use more concepts like parallel lines, perpendicular lines, and other geometric theorems like the Pythagorean theorem.


How do you find a pythagorean triple?

There are infinitely many Pythagorean triples. To find a Pythagorean triple take two positive integers x, y with x > y. A Pythagorean triple is of the form x2 - y2, 2xy, x2 + y2.


What is the perimeter of a square whose one diagonal is 16cm?

To find the perimeter of a square with a diagonal of 16 cm, we first need to determine the side length of the square using the Pythagorean theorem. The diagonal of a square divides it into two right-angled triangles, with the diagonal being the hypotenuse. Using the formula a^2 + b^2 = c^2, where a and b are the two sides of the triangle and c is the hypotenuse, we can calculate that each side of the square is 8√2 cm. Since a square has four equal sides, the perimeter is 4 times the side length, giving us a perimeter of 32√2 cm.

Related questions

How do you find the perimeter of a parallelogram using Pythagorean theorem?

you can't, because the Pythagorean theorem is for right triangles and the triangles formed by the diagonal of a parallelogram are not right triangles.


What is pythagorean spiral?

it is a series of isosceles triangles with all 90 degree angles and consist of 17 triangles


How does a architecture design use the pythagorean theorem?

Its simply used to find the distance,area,and perimeter.


How do you find the perimeter with one side missing?

14cm and 11cm what is the missing side using pythagorean theorem


To what extent does the Pythagorean spiral not meet the basic principles of Islamic Art?

well Islamic art fits in a square doesnt it like all the tessilations and stuff so yeah a spiral cant fit in a square :)


How is the Pythagorean Theorem used in Architecture?

A2 + B2= C2 :It's used simply to find distance, area, and perimeter.


What are the dimensions of a right triangle with a perimeter of twelve cm?

3 cm, 4 cm and 5 cm because they are a Pythagorean triple


How do you find the perimeter a triange when you know the length of one side and two of the angles?

Pythagorean theorem ~ a Squared + b Squared= c Squared


If a rhombus has diagonals of lengths 7cm and 12cm Using the Pythagorean theorem calculate the perimeter?

Perimeter: 4 times square root of (3.5^2+6^2) = 2 times square root of 193 in cm


Formula for finding the perimeter of a triangle?

If you know any two angles and a side, you can use the law of sine (or law of cosine) to find the other two sides, add them up and get the perimeter. It you know the base and height, you can use the Pythagorean Theorem to get the side lengths, add them up and get the perimeter.


Why are formulas important in the real world?

pythagorean therom (a squared plus b squared = c squared), and basically all perimeter and area formuals


How do you find the perimeter of a triangle with only 10 and 8?

If ten is the hypotenuse of a right triangle, the Pythagorean theorem tells us that the other side has to be 6.