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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.

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Geometry Unit 8

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  1. 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

  2. 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 = 2+ 2 • Equation of a circle • Radius= 2 + 2 • Exp1 – 4

  3. Lesson 2 Do Now:Find the equation of a circle if the center is at (3, -4) and the radius is 5 • HOMEWORK • Page 599 #’s 1 – 15 odd • Page 599 – 600 • #’s 18 – 25 ALL • #’s 27 – 39 ODD • 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

  4. Lesson 3 • HOMEWORK • Page 607-8 #’s 12 – 38 all • The Moon is 0.3844 X106Km from the Earth. It takes 655.72 hours to make 1 revolution around the Earth. How fast is it going around the Earth? Do Now:Page 600 problem # 38Radius =12Is BA tangent to circle “C”? 12 C A 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

  5. Lesson 4 SFW • HOMEWORK: • Find the Volume of the Earth • Find the SurfaceArea of the Earth • C= 2πr • Velocity = distance / time Do Now:Honors and Warningswith your Parents 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

  6. Lesson 4 SFW • IN CLASS • 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

  7. 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

  8. 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

  9. 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

  10. 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

  11. 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

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