Graphing an Angle in Terms of Thirds Greater than 2pi

The video tutorial explains how to break down circle fractions using π as a reference. It starts by equating half and full circle rotations to π and 2π, respectively. The instructor then demonstrates how to rewrite 13π/6 by breaking it down into smaller fractions, showing that it simplifies to π/3. The concept of circle revolutions is used to illustrate the redundancy of 6π/3, emphasizing that 13π/3 is essentially the same as π/3.

What is the equivalent of halfway around a circle in terms of π?

• 2π

• π

• 3π

• π/2

How many π/3 are equivalent to a full circle?

• 4π/3

• 3π/3

• 6π/3

• 5π/3

Which of the following is a redundant expression for a full circle?

• π/3

• 6π/3

• 2π

• 3π/3

How can 13π/6 be expressed as a sum of fractions?

• 3π/3 + 3π/3 + 7π/3

• 5π/3 + 5π/3 + 3π/3

• 4π/3 + 4π/3 + 5π/3

• 6π/3 + 6π/3 + π/3

What is the simplified form of 13π/3 in terms of circle revolutions?

• 3π/3

• 4π/3

• 2π/3

• π/3