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6.2

6.2. Find Arc Measures. The measure of a minor arc is the measure of its central angle. The expression m AB is read “the measure of arc AB”. A. B. C. D. Measuring Arcs.

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6.2

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  1. 6.2 Find Arc Measures The measure of a minor arc is the measure of its central angle. The expression mAB is read “the measure of arc AB” A B C D Measuring Arcs 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 the measure of each arc of C, where DF is the diameter. D E C F Find measures of arcs Example 1 DCE minor major semicircle

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

  4. 6.2 Find Arc Measures A B C Arc Addition Postulate 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 B Checking A Money Market Savings Bonds C D Find measures of arcs Example 2 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 Congruent Circles Two circles that have the same radius. Congruent Arcs Two arcs that have the same measure and are arcs of the same circle or congruent circles.

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

  8. 6.2 Find Arc Measures A C B D Identify congruent arcs Example 3 Tell whether the given arcs are congruent. Explain why or why not. Solution measure not congruent not congruent

  9. 6.2 Find Arc Measures G F H J Identify congruent arcs Example 3 Tell whether the given arcs are congruent. Explain why or why not. Solution congruent circles

  10. 6.2 Find Arc Measures B Checking A Money Market Savings Bonds C D Checkpoint. Complete the following exercises. • In Example 2, find (a) mBCA and (b) mABC a. b.

  11. 6.2 Find Arc Measures • In the diagram at the right, is PQ SR? Explain why or why not. P S Q R Checkpoint. Complete the following exercises. Because they are in the same circle and

  12. 6.2 Find Arc Measures Pg. 204, 6.2 #1-38

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