π/6
The symbol π represents the mathematical constant pi, which is a transcendental number approximately equal to 3
The symbol π represents the mathematical constant pi, which is a transcendental number approximately equal to 3.14159. When it is divided by 6, π/6 represents the ratio of one-sixth of the circumference of a circle to its radius. In other words, it is the angle measure in radians corresponding to one-sixth of a full circle.
To better understand this, imagine a circle with a radius of r. The circumference of this circle is equal to 2πr, and since we are considering one-sixth of a full circle, the arc length is (1/6) times the circumference, which is (1/6)(2πr) = (π/3)r. Now, if we consider the angle at the center of the circle, it subtends (or cuts off) an arc length equal to the radius. In this case, the angle measure is π/6 radian.
So, in summary, π/6 represents an angle measure of π/6 radian or approximately 30 degrees. It is often used in trigonometry and geometry to describe various angles and their relationships within circles.
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