Chapter 6.4, Problem 6E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

*In Exercises 1 to 8, use the figure provided.*

If

To determine

**To write:**

An inequality that compares

Explanation

**Given:**

**Theorem:**

In a circle (or in congruent circles) containing two unequal central angles, the larger angle corresponds to the larger intercepted arc.

In a circle (or in congruent circles) containing two unequal chords, the shorter chord is at the greater distance from the center of the circle.

In a circle (or in congruent circles) containing two unequal minor arcs, the greater minor arc corresponds to the longer of the chords related to these arcs.

**Calculation:**

Using the theorem.

Since the angles are unequal i.e.

The arc corresponding to angle

Now applying the theorem:

And since the arcs are unequal i.e.

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