Sketch the Angle in Standard Position

The video tutorial explains how to sketch the graph of an angle, specifically 2π/3 radians. It begins with an introduction to graph sketching and the concept of radiance, which is the distance of the radius wrapped around a circle. The tutorial then details how to divide a circle into thirds, explaining that π radians is half the circle. Finally, it demonstrates how to graph the angle 2π/3 by rotating from the initial side to the terminal side in a counterclockwise direction.

What is the measure of half a circle in radians?

• 3π/2 radians

• π/2 radians

• 2π radians

• π radians

How many parts is the circle divided into to find π/3?

• Four parts

• Three parts

• Two parts

• Five parts

What is the angle measure of 2π/3 in terms of π?

• π

• π/3

• π/2

• 2π/3

In which direction is the angle 2π/3 measured from the initial side?

• Clockwise

• Counterclockwise

• Vertically

• Horizontally

What is the terminal side position for the angle 2π/3?

• At π/3

• At 2π

• At 2π/3

• At π