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

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 segments from, c, to, d, and from, c, to a, dashed line segments 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 are 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.