How to find the apothegm of a hexagon given the radius?

If you have the radius of a hexagon inscribed in a circle, then you are able to determine the apothegm. To do this, you first need to know the basic trigonometric properties of a hexagon. The first property is the sum of the interior angles of a hexagon equals two right angles plus six acute angles, or 6π. The second property is the sum of the exterior angles of a hexagon equals two right angles plus six obtuse angles. Using these two

How to find the apothegm of a right triangle given the radius?

The next step is to figure out the relationship between the hypotenuse of the right triangle and the radius of the inscribed circle. The pythagorean Theorem states that the sum of the squares of the legs of any right triangle is equal to the square of the hypotenuse. When you drop a line from the center of the inscribed circle to the point where the two legs intersect, you can see that this is the case.

How to find the apothegm of an isosceles triangle given radius?

We use the Pythagorean Theorem to find the length of the sides of an isosceles triangle. If the base of the triangle is the radius and the length of the two legs is the two sides of the triangle, then it’s easy to find the length of the hypotenuse with the Pythagorean Theorem.

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This is an easy one! If you have the radius of the hexagon, you can find the sides of the hexagon by dividing the radius by the length of each side. This gives you the length of each side of the hexagon, and by multiplying the length of each side by the number of sides you got from the first method, you can find the area of the hexagon.

How to find the area of a triangle using the apothegm of a right triangle?

To find the area of a triangle, you'll need to know the length of two of the sides, base and height. The apothegm of a right triangle tells you the length of the hypotenuse.