How was it determined that a circle is 360 degrees and all angles of a triangle equal 180 degrees?
idk but that's what the teachers say so i believe them..
lots of reasons can be found by googling the question
here is just one of them
http://shaunmccarthy.wordpress.com/2006/09/20/360-in-a-circle-60-minutes-and-60-seconds-what-is-so-special-about-60/
The fact that the angles in a triangle add up to 180 is a function of the 360 definition.
Had the circle been defined as 500 degrees, then the angles of a triangle would add up to 250
I NEED HELP
The measurement of angles in a circle and triangles can be determined using some fundamental principles and mathematical concepts. Let me explain how both of these measurements were determined.
1. Measurement of Angles in a Circle (360 degrees):
To understand why a circle is divided into 360 degrees, we need to go back to ancient history when the Babylonians developed a number system based on the number 60. This system is known as the sexagesimal system.
The Babylonians observed that a circle can be divided into six equal parts, called sextants. Each sextant can be further divided into 60 equal parts, known as degrees. This division is based on the numeration system they used, which had 60 as its base.
The sexagesimal system was widely adopted, and it eventually became the basis for our modern system of measuring angles. Thus, a circle was divided into 360 degrees due to historical and cultural reasons, influenced by the Babylonian number system.
2. Measurement of Angles in a Triangle (180 degrees):
The fact that the sum of interior angles of any triangle is always equal to 180 degrees can be explained using some basic geometry principles.
Consider a triangle. We can divide it into two right triangles by drawing a line from one vertex to the midpoint of the opposite side. Each right triangle contains a right angle (90 degrees) and two acute angles.
Using the property that the sum of the interior angles of a triangle is always equal to 180 degrees, we can say that the sum of the acute angles in each right triangle is 90 degrees. Thus, the sum of the acute angles in the original triangle is 180 degrees.
This property holds true for all triangles, regardless of their shape or size, resulting in a total interior angle measure of 180 degrees.
So, the angle measurement of a circle being 360 degrees and the sum of angles in a triangle being 180 degrees were both determined through historical cultural influences and the application of geometric principles.