How do you convert a percent into a degree For example a percent circle into a degree circle.?

Answer 1

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. :)

Do you mean percent as in percent slope or grade like on a hill? Say you are climbing a hill with 10% grade, that means a vertical height of 1 unit for every 10 units horizontal distance.

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