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6.2 Find Arc Measures Measuring Arcs

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Presentation on theme: "6.2 Find Arc Measures Measuring Arcs"— Presentation transcript:

1 6.2 Find Arc Measures Measuring Arcs The measure of a minor arc is the measure of its central angle. The expression mAB is read “the measure of arc AB” C B A D The measure of the entire circle is ______.The measure of a major arc is the difference between ______ and the measure of the related minor arc. The measure of a semicircle is ____.

2 6.2 Find Arc Measures Find measures of arcs minor DCE major semicircle
Example 1 Find measures of arcs F C E D Find the measure of each arc of C, where DF is the diameter. minor DCE major semicircle

3 6.2 Find Arc Measures Checkpoint. Complete the following exercises.
Find mRTS in the diagram at the right. R T S P

4 6.2 Find Arc Measures Arc Addition Postulate B A C The measure of an arc formed by two adjacent arcs is the sum of the measures of the two arcs.

5 6.2 Find Arc Measures = 360o - _____ Find measures of arcs Solution
Example 2 Find measures of arcs D B Checking A C Money Market Bonds Savings Money You join a new bank and divide your money several ways, as shown in the circle graph at the right. Find the indicated arc measures. Solution =_____ + _____ = 360o - _____ =_____ =_____

6 6.2 Find Arc Measures Identify congruent arcs Solution Example 3
Tell whether the given arcs are congruent. Explain why or why not. C B E D Solution the same circle

7 6.2 Find Arc Measures Identify congruent arcs Solution Example 3
Tell whether the given arcs are congruent. Explain why or why not. C A B D Solution measure not congruent not congruent

8 6.2 Find Arc Measures Identify congruent arcs Solution Example 3
Tell whether the given arcs are congruent. Explain why or why not. F G H J Solution congruent circles

9 6.2 Find Arc Measures Checkpoint. Complete the following exercises.
In Example 2, find (a) mBCA and (b) mABC D B Checking A C Money Market Bonds Savings a. b.

10 6.2 Find Arc Measures Checkpoint. Complete the following exercises.
In the diagram at the right, is PQ SR? Explain why or why not. Q S R P Because they are in the same circle and

11 6.2 Find Arc Measures Pg. 204, 6.2 #1-38

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