Geometry Unit 8 10.1 Tangents to Circles 10.2 Arcs & Chords 10.3 Inscribed Angles 10.4 Other Angle Relationships in Circles 10.5 Segment Lengths in Circles 10.6 Equations of a Circle Geometry Unit 8 Chapter 10 CIRCLES

Lesson 1 Do Now: Find the distance between the two coordinates A=(3,4) and B = (5, 3) HOMEWORK Page 638 – 639 #’s 1 – 39 odd Pythagorean Theorem C2 = A2 + B2 Distance Formula Distance = √{𝑥1−𝑥2)2 + {𝑦1−𝑦2)2 Equation of a circle Radius= √{𝑥1−ℎ)2 + {𝑦1−𝑘)2 Exp1 – 4

Lesson 2 Do Now: Find the equation of a circle if the center is at (3, -4) and the radius is 5 IN CLASS 10.1 Tangents Understand 10 definitions Page 595 Page 596 Internally / Externally Tangent Page 597 Perpendicular Tangents Exp: 4 - 5 Page 598 Two Tangent Theorem Exp 6-7 Page 599 #’s 1 – 15 odd Page 599 – 600 #’s 18 – 25 ALL HOMEWORK Page 599 #’s 1 – 15 odd Page 599 – 600 #’s 18 – 25 ALL #’s 27 – 39 ODD

Do Now: Page 600 problem # 38 Radius =12 Is BA tangent to circle “C”? Lesson 3 Do Now: Page 600 problem # 38 Radius =12 Is BA tangent to circle “C”? HOMEWORK Page 607-8 #’s 12 – 38 all The Moon is 0.3844 X106 Km from the Earth. It takes 655.72 hours to make 1 revolution around the Earth. How fast is it going around the Earth? 12 A C 16 8 IN CLASS 10.2 Arcs and Chords Understand be able to draw Minor and Major arcs Measures of Minor and Major Arcs Semi Circle Arc addition Exp 1 – 3 Page 607 #’s 1 – 11 ALL Page 607-8 #’s 12 – 38 all B

Do Now: Honors and Warnings with your Parents Lesson 4 SFW Do Now: Honors and Warnings with your Parents HOMEWORK: Find the Volume of the Earth Find the Surface Area of the Earth C= 2πr Velocity = distance / time GOALS: Why do we learn this language called Math/Geometry? AICR 75% BE ATTENTIVE: READ THE DIRECTIONS List out the information you have. DRAW a picture 80% BE INSIGHTFUL: Work problem through to CONCLUSION What should the answer look like? If in doubt; take a best guess 90% BE CRITICAL: CHECK ALL your answers. Put answers back into original problem and see if it works 100% BE RESPONSIBLE: Fix errors. “DO” (AICR them) EVERY problem

Lesson 4 SFW H IN CLASS Honors How fast is the Earth traveling (in a circle) around the Sun if the distance (R) from the Sun to the Earth is 93,000,000 miles and it takes 8,766.24 hours to make one revolution? How far has the Earth traveled in 3 months (90 days). There are 365 days in a year. Honors How would you ensure that the Men’s Lacrosse field you are supposed to lay out is in fact a 60 x 110 yard Rectangle? You have 4 stakes You have a 700 yard roll of string You have a 200 yard tape measure R H

Lesson 3 Two Parts Inscribed angles Do Now: Find the measure of a major arc of a circle with a radius of 5.00 inches if the major arc angle is 30.0 degrees? HOMEWORK Page 616#’s 1 – 8 ALL Page 617 #’s 9 -29 all Page 619 #42, 43 Page 620 # 48 – 62 ALL IN CLASS Review 10.2 Page 608 #’s 33 and 34 find the Arc and Arc LENGTH Honors 43 – 47 Odd 10.3 Exp 1, 2, 3 (4 Honors) Understand be able to draw Inscribed Angle and Intercepted Arc Congruent Arc = congruent Inscribed angles Page 616#’s 1 – 8 ALL Page 617 #’s 9 -29 all

Lesson 3 “other” circle angles Do Now: How Fast are you riding your Bike? Wheel diameter: Pedals per Minute: pedal to wheel ratio: HOMEWORK Page 624#’s 8 – 34 ALL IN CLASS 10.4 Exp 1, 2, 3 Understand be able to draw Interior Chords intersections Measures of Angles formed by 2 chords Page 624#’s 9 – 33 Odd

Lesson 4 “other” circle angles Do Now: The distance from the Moon to Earth is 384400 Kilometers. Assume that the Moon travels in a circle around the Earth. The Moon takes: 27 days, 7 hrs, 43 min OR 655.72 hours OR 2.36 X106 seconds to make one revolution, a) How far does the moon travel in that one revolution? Dist= _____________ Km HOMEWORK Page 624#’s 8 – 34 ALL Page 624#’s 40 – 51 ALL IN CLASS 10.4 Exp 1, 2, 3 Understand be able to draw Interior Chords intersections Measures of Angles formed by 2 chords Page 624#’s 9 – 33 Odd Page 624#’s 40 – 51 ALL

Solar Eclipse Radius of the Sun: 698,500 km Radius of the Moon: 1,738 km Orbital distance from the Sun to Earth :149.6 X106 Km (1 A.U.) Orbital distance from the Moon to Earth :0.3844 X106 Km

Review Write the equation for the following circles:   Radius is 3.5 Center is at (2,0) 3.52 = ( x – 2 )2 + (y – 0 )2 b) Center is at (2, 4) and it goes through the point (8, 10) R2 = ( x – 2 )2 + (y – 4 )2 R2 = ( 8 – 2 )2 + (10 – 4 )2 R2 = ( 5 )2 + (6 )2 = 25 + 36 = 61