How to find the radius of a square with the apothegm?
We are given a square with sides of length 1. We want to find the radius of the inscribed circle This is a square inside a circle inscribed in the square, which is a special kind of quadrilateral called a rhombus. Another square whose sides are equal to the length of the sides of the square whose radius we want to find is the circumscribed circle. In the diagram below, the shaded square is the inscribed circle and the one with the dashed border is the circumscribed
How to find the radius of a square without the apothegm?
The most direct and easy way to find the radius of a square without relying on the pythagorean theorem is to use the fact that the diagonal of a square is half the sum of the length of each side. The length of sides A and B of a square are equal to their diagonal, so the sum of them is twice the length of the diagonal, which is the length of the hypotenuse.
How to find the radius of a square with the Pythagorean theorem?
The Pythagorean Theorem is one of the most famous and powerful theorems in the history of mathematics. It states that in a right triangle the sum of the squares of its sides is equal to the square of the hypotenuse. The radius of a square is half of its side length, so using the Pythagorean Theorem you can easily find the radius of a square with a known side length. Just remember that in this case the Pythagorean Theorem is used in two
How to find the radius of a square with the apothecary?
If you have a circle with a diameter that equals a given length, the ratio between the diameter and the radius is the same as the ratio between the circumference and the diameter. Thus, you can use this relationship to find the radius of a circle from the diameter.
How to find the radius
When solving a problem with a square, you should first describe the problem in your own words. The word problem itself is the first step in solving it. It helps you to organize your thoughts and to develop a clear idea of what you are trying to accomplish. After you have developed the idea of the problem, you can use the Pythagorean Theorem to find the length of the diagonal of the square and solve the problem.