9.7/9.8 Angles Inside and Outside the Circle HW: 9.7 ALL 9.8 ALL Essential Question: How do the areas and perimeters of similar shapes compare? Talk with your neighbor What angle did you learn yesterday that is on a circle? What do you know about it? formed by a chord and tangent is the measure of the intercepted arc intersect inside the sum Circle Formulas/Thms Packet Take 3min to write these thms in your packet in your own words. Write it so you will understand it. Add a picture too! Chord/Tangent Angle Thm Intersecting Chords Angles Thm 124/2= 62 50 + a + 45 = 180 a = 85 45 x 2 = 90 b = 45 50 x 2 =100 c =50 Now you try! 133 x 2 = 266 (129+71)/2= 200/2= 100 Technology Break 5 min HW: 9.7 ALL 9.8 ALL Essential Question: How do you find the measure of an angle outside of a circle? Circle Formulas/Thms Packet Take 3min to write these thms in your packet in your own words. Write it so you will understand it. Add a picture too! External Angles Thms # 1, 2, and 3 7222 12032 Try on your own! 141 187= 32 Plicker Exit Quiz Question 1 Question 2 Solve for a. A) 30 B) 60 C) 90 D) 120 Solve for b. A) 30 B) 60 C)90 D) 120 9.7 ALL 9.8 ALL 9.10/9.11 Segments from Secants and Tangents HW: 9.10 (1, 2, 4, 5, 7, 9, 12, 13) 9.11 (1, 6, 8, 9, 11, 12, 15) Essential Question: How can you find the length of intersecting secants? 18 (x +18) = 640 x + 18 35.6 x 17.6 __ (____) = __ (__) 18x x 2x 2 = 288 x 2 = 144 x = 12 __ (____) = __ (__) x2x932 2x False Draw a counterexample Technology Break 5 min HW: 9.10 (1, 2, 4, 5, 7, 9, 12, 13) 9.11 (1, 6, 8, 9, 11, 12, 15) Essential Question: How can you find the lengths of intersecting secants and tangents? x 2 = 64 x = 8 __ (____) = __ (__) xx416 x 16 x 2 = 36 x = 6 4 Try this one yourself! x 2 400 = 30y + y 2 0 = y 2 +30y = (y +40)(y 10) y = 10 __ (____) = __ (_____) 2020y 30 + y 30+y 9.10 (1, 2, 4, 5, 7, 9, 12, 13) 9.11 (1, 6, 8, 9, 11, 12, 15) Test Next Wednesday! 9.9 Segments from Chords and 9.12 Circles in the Coordinate Plane HW: 9.9 ALL 9.12 Odds Essential Question: How can you find the lengths of intersecting chords? When 2 chords intersect the products of their segments are equal a x b = c x d a x b = c x d 12 x 8 = 10 x x 96= 10x 9.6 = x 9 x 5 = 15 x x 45 = 15x 3 = x You try! a x b = c x d 8 x 24 = 12 (3x + 1) 192 = 36x = 36x 24(x 9) = 21(x 5) 24x = 21x 105 3x = 111 You try! 5 = x x = 37 a x b = c x d 4.25 x 4.25 = 1.75x = 1.75x cm = x 5min Break Put the intersecting chords thm in your packet. HW 9.9 ALL 9.12 Odds Essential Question: How do you graph a circle in the coordinate plane? (h, k) = (0, 0) r = 3 (-3, 9) (-3, -3) (-3, 3) r=6 6 2 = (x (-3)) 2 + (y 3) 2 36 = (x + 3) 2 + (y 3) 2 (8 + 1) 2 + (-3 5) 2 = 50 (9) 2 + (8) 2 = = 50 NO (-2 + 1) 2 + (2 5) 2 = 50 (-1) 2 + (3) 2 = = 50 NO 9.9 ALL 9.12 Odds