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The word for three quarters of a circle is "quadrant." A quadrant is a sector equal to one fourth of a circle, so three quadrants make up three quarters of a circle. Each quadrant measures 90 degrees, totaling 270 degrees for three quarters of a circle.
Eight of them.
The short answer is "They Don't!"First we must understand what a convention is. A convention is simply an agreement that we all follow. Sometimes there are many conventions. E.g. We measure speed in kph, mph, mach and knots to name a few. In some cases the whole world agrees on a single convention.By convention a circle is divided into 360 slices, each slice is called "one degree". Thus a circle is divided into 360 degrees and now we have a tool to measure angles. This convention is world wide.A square is a square because it has 4 equal sides and 4 equal corners. To measure a square or any polygon, we move along the boundary and using our measuring device we measure every change of direction. A square measures 360 degrees.If we measure a circle using the same rules that we apply to polygons we must start at a point on the circumference and measure each change of direction. A circle is always changing, thus we can say that a circle has an infinite number of changes of direction. Each change is infinitely close to 180 degrees. Thus a circle has an infinite number of degrees when measured using the same rules that we apply to polygons.Consider the following test given by teachers to children.How many degrees in a triangle___________________Answer___180How many degrees in a square____________________Answer___360How many degrees in a hexagon__________________Answer___720How many degrees in a octagon__________________Answer___1080How many degrees in a circle____________________Answer___InfinityThis test sets up a mathematical progression for young minds to solve. The answer to the last question is not 360. It is in fact infinity.If a teacher wants an answer of 360 then the question should be a separate question such as "how many degrees is a circle divided into?