anglet

[tejal777]

If an anglet is defined as 1 percent of 1 degree,then howmany anglets are there in a circle?Ans:36000.

what am i missing?
1 degree=1 percent
So, 360 degree=1percent/1degree X 360 degree
=360/100=3.6.

[esledge]

what am i missing?
1 degree=1 percent
So, 360 degree=1percent/1degree X 360 degree
=360/100=3.6.

When you want to convert 360 degrees to some other units, you must be careful to only multiply by 1. Multiplying by any other number will actually change the value.

Also, we want to multiply 360 degrees by something with degrees in the denominator, so the degree units will cancel. Ideally, to convert from degrees to anglets, we would directy multiply the degrees by something with units "anglets per degree."

Since 1 anglet = 1 percent of a 1 degree = 0.01 degree, the fraction (1 anglet/0.01 degree) is equal to 1. Here's the correct math:

360 degrees = (360 degrees)(1 anglet/0.01 degree) = (360/0.01)anglets = 36,000 anglets

Your error was that (1 percent/1 degree) does not equal 1, nor does it result in units of anglets. Note that % is not a unit of measure (like degrees, inches, miles, etc.), just the plain-old number 0.01. Your result was not only the wrong number, but also had no units attached to it.