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Home > CCG > Chapter 10 > Lesson 10.2.2 > Problem 10-87


Review what you know about the angles and arcs of circles below.  

  1. A circle is divided into nine congruent sectors. What is the measure of each central angle?

    What is the total angle measure of a circle?

  1. In the diagram at right, find and if .

    How are inscribed angles related to intercepted arcs?

Circle with points, in order, a, b, c, d, e, solid line segment from, c, to, d, and from, c, to a, dashed line segment from, b, to d, and from, b, to a.

  1. In at right, and inches. Find and the length of . Then find the area of the smaller sector.

  • How does the angle measure relate to the arc measure?

    Intercepted arcs of equal measure to their corresponding central angles.

    Circumference of the Whole Circle

    Area of Circle

     Area of Sector 

Circle with center, c, points, a, and, b, with line segments from, c, to a, and from c, to b.