First you convert the number into a decimal.
Then you multiply it by 360.
Let's say you want 2% of a circle. That means you want 2% of 360 degrees. 2% is .02. 360 * .02 = 7.2. So 2% of a circle is 7.2 degrees.
You can also set it up as a ratio.
x/360 = 2/100 is a way of saying (what) out of 360 degrees equals 2 out of 100? The way you solve this is to cross-multiply. Take the top of one and multiply by the bottom of the other and vice-versa.
x * 100 = 2 * 360
100x = 720
x = 720/100
x=7.2
Same answer, different method. :)
For small slopes, less than ten percent , you divide percent by 100 to get slope and multiply by 180/pi to get degrees
For example if hill is 5% slope that is 5/100 x (180/3.14) = 2.87 degrees
For bigger slopes you need to use trigonometry - find angle whose tangent is equal to the slope
For example if hill is 100% slope that is 100/100 = 1 and angle whose tangent is 1 = 45 degrees
convert percent of slope to degree
Divide the degree by (360/100) = 3.6
Multiply the percentage by 360.For example, 32.5%*360 = .325*360 = 117 degrees.first divide the percent by 100. then Multiply by 360.
In a circle, 3.6*11 = 39.6 degrees.
You have to remember that the complete circle is 360°.When they tell you that the sector is some percent of the circle, it's the same percent of 360° !Example:A sector is 40 percent of the circle. How many degrees is it ?40 percent is the same as 0.40Multiply (0.40 x 360°) and you get 144°. Is that cool ? !
convert 27%to a degree measure on a circle graph
convert percent of slope to degree
Divide the degree by (360/100) = 3.6
Multiply the percentage by 360.For example, 32.5%*360 = .325*360 = 117 degrees.first divide the percent by 100. then Multiply by 360.
once you have the percentage of a number you turn it into a decimal and multiply it by 360. for example. if your percent is 36% you make that .36 which is the decimal form of that percent as well as .59 is the decimal form for 59%. so next you multiply .36 by 360 360 x .36= 129.6 which is your degree.
Take the percentage and make it a decimal (100% = 1, 34% = .34, etc.) Take the decimal and multiply it by 360 The resulting number is the degrees of a circle. Hope this helps!
Generally, there is not a conversion between the two with no context. 75 percent of a circle would equal .75x360 degrees = 270 degrees of the circle.
A 90 Degree Angle
In a circle, 3.6*11 = 39.6 degrees.
You have to remember that the complete circle is 360°.When they tell you that the sector is some percent of the circle, it's the same percent of 360° !Example:A sector is 40 percent of the circle. How many degrees is it ?40 percent is the same as 0.40Multiply (0.40 x 360°) and you get 144°. Is that cool ? !
150% of 360 degrees= 150% * 360= 1.5 * 360= 540 degrees
Some scientific caculators can convert degrees minutes and seconds into decimal degrees and vice versa as for example 60045'18'' = 60.755