percentage to degrees?

Question

im trying to help a little girl with her math homework, and i completely forgot how to change percentages to degrees, like on a circle graph... anyone out there knows???

Answer 1

I would think that since there are 360 degrees in a full circle, each percentage point would be 3.6 degrees. For example, 180 degrees would be 50% of a full circle.

Answer 2

I'm not even sure what you mean.

A complete circle (100%) is 360 degrees. If that is what the percentage means (like 25% is a quarter of a circle), then 1% is the same as 3.6 degrees.

This is what we use to draw pie charts, for example. If one quarter of the population say yes, then they get a quarter of the pie (25% = an angle of 90 degrees measured at the centre of the pie and extending out to the crispy, flaky edge of the warm, delicious crust...)

Dessert time.


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Mae, what you have is 1% of a radian. A radian is the angle made by measuring an arc of exactly one radius along the circumference.

Circumference = 2*pi*R
therefore, length of R = Circumference / (2*pi)
= 360 / (2*pi) = 57.29577951... degrees.

and 1% of that is 0.5729577951...

Answer 3

one circle is 360 degrees, and this is equivalent to 100 %

so

360 degrees = 100 %

therefore
1 degree = 100 % / 360
and
1 % = 360 degrees / 100

so 17 % is 17 * 360 / 100 degrees

and 17 degrees = 17 * 100 / 360 percent

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half a circle 50 %
1/3 of a circle = 33. 1/3 %

Answer 4

I think this may be right.

if you have 25% of a circle, you would change this to fraction form like this:

25/100

and since a complete circle has 360 degrees you could set up an equation like this:

25/100=x/360

then you would multiply 25 by360 and divide by 100 and get 90 degrees.

I hope this is what you meant.

Answer 5

the nearest ingredient i could desire to locate is the end results of the 2006 elections For the dems No extreme college sixty 4% H.S. Graduate fifty 5% some college fifty one% college grad forty 9% Postgraduate fifty 8% For the GOP No extreme college 35% some extreme college forty 4% some college forty seven% college graduate forty 9% Postgraduate forty-one%

Answer 6

1 percent = 0.572957795 degree