Page 752 11) Chords: 𝑹𝑺 , 𝑽𝑾 Secant: 𝑽𝑾 Tangent: line l Diameter: 𝑽𝑾 Radii: 𝑷𝑽 , 𝑷𝑾 12) Chords: 𝑫𝑬 , 𝑨𝑪 Secant: 𝑫𝑬 Tangent: 𝑪𝑭 Diameter: 𝑨𝑪 Radii: 𝑨𝑩 , 𝑩𝑪 15) 412.8862 km 16) 32 17) 7 18) Sometimes 19) Never 20) 21) Always 22) Sometimes 23) 𝑨𝑪 24) 𝑨𝑷 , 𝑩𝑷 , 𝑪𝑷 , 𝑫𝑷 25) 26) 138° 27) 45° 31) 8 32) 18 33) 22 1/18/2019 1:56 PM 11-2: Arcs and Chords

1/18/2019 1:56 PM 11-2: Arcs and Chords

Section 11–2 Geometry PreAP, Revised ©2014 viet.dang@humble.k12.tx.us Arcs and Chords Section 11–2 Geometry PreAP, Revised ©2014 viet.dang@humble.k12.tx.us 1/18/2019 1:56 PM 11-2: Arcs and Chords

Definitions Central angle is an angle whose vertex is the center of a circle. Arc is part of the circle on the outside Minor arc is an arc whose points are on or in the interior of central angle which measures less than 180°; usually by the letters of two endpoints Major arc is an arc whose points are on or in the exterior of central angle which measures greater than 180°; usually by the letters of two endpoints and another point on the arc The total number of degrees in a semicircle is 180°. 1/18/2019 1:56 PM 11-2: Arcs and Chords

Visuals T R S Name Picture Heading Minor Arc Major Arc central angle Semi Circle T S R central angle K P G R P G R K K T P R G 1/18/2019 1:56 PM 11-2: Arcs and Chords

Example 1 Use the picture of Circle P and tell whether each arc is a major arc, minor arc, or a semicircle. Then, find the degree measure of each arc. BD is a diameter and CD is an angle bisector. 1/18/2019 1:56 PM 11-2: Arcs and Chords

Your Turn Use the picture of Circle P and tell whether each arc is a major arc, minor arc, or a semicircle. Solve. P H A M T 46° 80° 1/18/2019 1:56 PM 11-2: Arcs and Chords

Example 2 The circle graph shows the type of music sold during one week at a music store. What is the angle measurement of sales involve pop, country, and R&B? mFMC = 0.30(360) = 108 1/18/2019 1:56 PM 11-2: Arcs and Chords

Example 3 The circle graph shows the type of music sold during one week at a music store. Solve for 𝒎 𝑨𝑯𝑩 . 1/18/2019 1:56 PM 11-2: Arcs and Chords

Your Turn The circle graph shows the type of food sold. Solve for 𝒎 𝑻𝑹𝑸 . 1/18/2019 1:56 PM 11-2: Arcs and Chords

Congruent Arcs Within a circle or congruent circles, congruent arcs are two arcs that have the same measure Congruent Central Angles have Congruent Chords Congruent Chords have Congruent Arcs Congruent Arcs have Congruent Central Angles 1/18/2019 1:56 PM 11-2: Arcs and Chords

Example 3 In Circle M, 𝑾𝑺 and 𝑹𝑻 are diameters, 𝐦∠𝑾𝑴𝑻=𝟏𝟐𝟓, 𝒎 𝑹𝑲 =𝟏𝟒. Solve for 𝒎 𝑹𝑺 and 𝒎 𝑲𝑺 T W S K M R 1/18/2019 1:56 PM 11-2: Arcs and Chords

Example 4 C  J, and mGCD  mNJM. Find NM. 14t – 26 = 5t + 1 1/18/2019 1:56 PM 11-2: Arcs and Chords

Example 5 Solve for NP. SN2 + RS2 = RN2 SN2 + 82 = 172 SN2 = 225 1/18/2019 1:56 PM 11-2: Arcs and Chords

Your Turn Solve for LN. 1/18/2019 1:56 PM 11-2: Arcs and Chords

Assignment Page 761 19-29 odd, 31-35 all, 38-39 1/18/2019 1:56 PM 11-2: Arcs and Chords