th whole arc making up the circle measures 360

Correct!

Is this a statement or a question?

Solve the following system using substitution. If a single solution exists, write the solution as an ordered pair. Your answer will be an ordered pair, no solution, or infinitely many solutions.

c+2d=4
3c-4d=7

What answer did u get

To understand why the whole arc making up a circle measures 360 degrees, we need to examine the concept of angles and the origins of the degree system.

Angles are used to measure the amount of rotation formed when two lines meet at a point, with one line acting as the reference (known as the initial side) and the other line rotating from the initial side (known as the terminal side). The measure of an angle is typically given in degrees.

The degree system is derived from the Babylonian numeral system, which was based on the number 60. This base-60 system was widely used in ancient cultures due to its divisibility, making calculations easier. The concept of dividing circles into 360 equal parts was adopted from this base-60 system.

To find the measure of the whole arc making up a circle, we consider that a circle is comprised of 360 degrees. Imagine a circle as a complete revolution, where you start from a point and make a full rotation until you return to the same position. This full rotation is defined as 360 degrees.

Therefore, the measure of the whole arc making up a circle is 360 degrees. This value is also useful for various mathematical calculations and geometric principles involving circles.