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Home > PC3 > Chapter 2 > Lesson 2.1.2 > Problem 2-23

2-23.

Below are two of the special angles that are used in the unit circle. Identify the radian measure for the angles shown. Remember counterclockwise angles are positive and clockwise angles are negative. 

  1. A circle with a Central Angle, from the positive, x axis, to a point in first quadrant, about a third of the way between 0 and positive y axis, with curved arrow pointing counter clockwise.

    The top half of the circle is radians. How many equal parts can you divide the top half of the circle into using the given part?

  1. Circle with a central angle, from the negative, x axis, to a point in third quadrant, about half way between negative x axis, & negative y axis, with curved arrow on central angle from positive x axis, to radius in third quadrant, pointing clockwise.

    The bottom half of the circle is radians. How many equal parts can you divide the bottom half of the circle into using the given part?

    Three out of four pieces of radians are shaded.