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What fraction of a pie graph is 30 degrees?
Since a complete circle is 360 degrees, a 30-degree part of a circle is 30/360, or 1/12, of the pie.
What part of the Earth's surface is represented at 0 45 and 90 degree angles?
0=45 degrees?
What is the Definition of radian measure in maths?
A radian is part of the circumference of a circle and its length is the same size as the circle's radius and it is about 57.3 degrees.
What is tangent of 20 degrees?
tan(20 deg) = 0.3640 approx. You seem not to be aware but you could have obtained the answer much more easily and quickly by using the calculator that comes as part of your computer.
How do you convert roof angle to roof pitch?
The quick and easy way is to purchase a speed square ($8). It has pitch and angles on it. Next a bit more of an investment is to purchase a Construction Master calculator($100). This is an invaluable tool for the building trade.Other than that you will need to use a trigonometric function. This will require a tangent table that can be found in a Trigonometry book or on a scientific calculator.IE. If you have an angle of 18.5 you will need to know the tangent of that angle. First you will need to understand how degrees are represented in the chart. If you look at the Trigonometric functions table you will find that the degree's are represented inn°n'. in this format for example 18d30' means 18 degrees and 30 minuets which is a term used for fractions of a degree. As on a clock the minuets represent 60 units so you will need to convert the decimal value to minuets. So 60(for our minuets value)/ (divided by)1 (for our decimal value) X.5 (our fractions of a degree)=30' now we have 18°30'The pitch is represented as 12 units of run (horizontal) and n units of rise (vertical) to solve for n the formula would be the tangent of the measured angle times the run (12) = the rise. Therefore the tangent of 18°30' is .3346 times the run 12 = 4.0152 or 4/12 (4 in 12) pitch. For each 12" out you go 4" up.Converting a roof pitch to roof angle:IE. a 4 in 12 pitch. Formula will be the opposite over the adjacent = the tangent of the angle you are looking for. In this case 4 is the opposite and the 12 is the adjacent. therefore we have 4/12 or 4 divided by 12 that = .33333 looking at the tangent of this fraction we will find it falls between .3314 and .3346 the angle for .3314 is 18d20'00" and .3346 is 18d30'00". you have to be looking at the Nat. tangent table to understand this part. There is more, in this format 18d20'00" means 18 degrees and 20 minuets 0 seconds which is a term used for fractions of a degree. As on a clock the minuets and seconds represent 60 units each so it will need to be converted to decimal value. So 1 (for our decimal value) / (divided by) 60(for our minuets value)X20(number of minetus)=.3333 or .3333° and 1/60X30=.5 or .5° so the angle for a 4 in 12 pitch is between 18.3333° and 18.5°.Now a bit more to narrow it down. our tangent for a 4/12 was .3333 falling between .3314 and .3346 the difference between the 2 choices is 32 units. the difference between the 2 angles is 10'(minetus) so for each unit of difference you have 10 divided by 32 = .3125' (minutes per unit) now from .3314 to our tangent of .3333 you have 19 units thus 19x.3125'=5.93' now you need to add this to the first angle of 18d20'00" for a total of 18d 25.93' so converting the minutes to decimal 1/60x25.93=.4321 for a total of 18.4321°. The construction Master gives the answer of 18.43 in about 6 seconds, the speed square about 3 seconds.Concluding: if a Construction Master is not in the budget buy a speed square.Short list of angles/pitch4.76°=1/129.46°=2/1214.04°=3/1218.43°=4/1222.62°=5/1226.57°=6/1230.26°=7/1233.69°=8/1236.87°=9/1239.81°=10/1242.51°=11/1245°=12/12
