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Trying to figure angle for six leg circle - Saws

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I'm not sure what a six leg circle is but a circle has 360 degrees, so if you want to divide it into six parts, each triangle has an angle of 60 degrees at the center, and 60 degrees at the other two angles, so each combined angle of the inscribed hexagon is 120 degrees. (That's measured in degree, not reading off a chop saw.)
Hope that helps...

Posted on Apr 18, 2009

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For a 10ft radius octagon, how long should each side be?


There is probably a formula for this or other ways of doing this, but I will give it a shot.

An octagon has 8 sides (octopus has 8 legs). To make an octagon, we effectively have 8 triangles joined at the centre. In the centre, we have 8 equal angles. Since a full circle is 360 degrees, each of these angles must be 360 / 8 or 45 degrees.

Now we can just focus on one of these triangles. We have an angle of 45 degrees at the centre and two arms extending out 10 feet.

At this point, we can use the cosine law to calculate the length of the side or we can recognize that it is an isosceles triangle and work out the other angles and determine the length of the side.

Using Cosine Law, a^2= b^2 + c^2 - 2xbxc Cos A
In this case, A = 45 degrees, b = 10 feet, c=10 feet.

Good luck.

Let me know if you have any questions.

Paul



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Aug 25, 2015 | Miscellaneous

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Identifying Your Reebok / Robix Studio Cycle


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All purpose presentation easel a DIY project


You never know when you are going to need or want an easel to show off your art work, maybe your kids want to finger paint who knows they could be the next Van Gogh. Building a display easel is very simple and can be done in just a few hours.

You want to start with two pieces of wood cut to 2x82" these pieces will form the front legs of the easel. Using a table saw cut the tops of the wood to a 15* angle. Take a measuring tape and measure 78" from the bottom of the wood (up to the angle cut) mark this spot on both pieces.
Using a drill, drill a 3/8" hole through the widest side of the angle as a right angle to the cut. Repeat for the second front leg.

To make the back leg cut a piece of wood down to 2x81" long, using your drill, drill two 3/8" holes in the widest side of the wood. One hole should be 39" from the bottom of the wood and the second at 74" from the bottom.

Your art work needs something to sit on so to make the cross bar cut a piece of wood down to 2x47".

Now you are ready to assemble your easel. Take the front and back legs and lay them on the floor next to each other with the back leg in the middle. Rotate the front legs to the angle is facing the back leg and line up the holes. Slide a bolt into the hole and place a washer and a nut on the end, keeping it loose enough to adjust the angle. Stand up the easel and spread the from legs so that they are 45" away from the back leg. Tighten the bolt and you have the angle right and lay it back down.

To attach the cross bar, measure 38" up from the bottoms of the front legs find the center and drill a 3/8" hole in each and bolt the cross bar to the legs. To keep the legs from spreading too far you can attach a chain between the cross bar and the back leg. To do this you thread the chain through the hole in the back leg and tie it off. Attach an eye screw to the cross bar and loop the chain through it to keep limit how far the legs can spread to the angle that you want to work or display at.

on Jan 29, 2014 | Office Equipment & Supplies

1 Answer

Hexagon calculator


I will not try to guess what that diameter represents, so I will give you all mensuration formulas for the area of a regular polygon.
s is the measure of the side, r the radius of the inscribed circle, R the radius of the circumscribed circle, and n the number of sides.
If the angle unit in your calculator is the degree, use 180 instead of Pi. Use the formulas with PI if angle unit is set to radians.
In the formulas on the last line of the display screen (the formulas with sine functions) the radius r should be R (circumscribed circle radius). cot is the reciprocal of the tangent function (cot(x)=1/tan(x) )

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1 Answer

How do you use CHASHOTAO to calculate the Hypotinus given the adjasent length and opposite angle


You should be aware that the adjective adjacent has no absolute meaning. It is relative to the angle you are considering.
Let some angle A in a right triangle. Let H be the measure of the hypotenuse. Do not confuse it with some height.
cos(A)=(measure of leg adjacent to A)/H
H= (measure of leg adjacent to A) / cos(A)
However what you call the opposite angle (the other angle I presume), is the complementary of of angle A. Call it angle B
In terms of that second angle
H=(measure of leg adjacent to A)/ sin(B)

What is adjacent to angle A is opposite to the complementary of A.
I think you should work a little more on the meaning of the words adjacent and opposite until you understand that they are relative concepts. They mean nothing until you spell out what angle you are looking at. Without proper understanding of these two concepts you will not be able to use correctly that mnemonic device which you have mangled (BTW)

I do not know it what language you have transcribed the mnemonic , but in English the device is called SOH- CAH-TOA

SOH means: To calculate the Sine of an angle divide the measure of the leg Opposite to the angle by the measure of the Hypotenuse.

CAH means: To calculate the Cosine of an angle divide the measure of the side Adjacent to the angle by the measure of the Hypotenuse.

TOA means: To calculate the Tangent of an angle divide the measure of the side Opposite to the angle by the measure of the side Adjacent to the angle.

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1 Answer

I can't seem to be able to figure out how to find the cosine tangent or sine of an angle...Help?


Unlike traditional calculators, the FX9750G uses textbook order to call functions. For example, to calculate the sine of 45°, you key in (angle argument unit set to degrees assumed):

[sin] 45 [EXE]

Cosine and tangent are analogous. Argument format can be degrees, radians or grad. You can set up the angle argument unit by keying in:

[SHIFT] [SETUP] [v] [v] [v] [v] and then
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  • [F2] (Rad) [EXIT] for radians (1 full circle = 2pi),
  • [F3] (Grad) [EXIT] for grad (1 full circle = 400 gon).

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A solid (3-dimensional) object which has six faces that are rectangles.

It is a prism because it has the same cross-section along a length.

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