1. 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

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 = √{𝑥1−𝑥2)2 + {𝑦1−𝑦2)2
Equation of a circle
Radius= √{𝑥1−ℎ)2 + {𝑦1−𝑘)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
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

4. 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 #’s 12 – 38 all
The Moon is X106 Km from the Earth. It takes 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 #’s 12 – 38 all B

5. 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

6. 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, 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 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 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 Kilometers. Assume that the Moon travels in a circle around the Earth. The Moon takes: 27 days, 7 hrs, 43 min OR hours OR 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, km
Orbital distance from the Sun to Earth :149.6 X Km (1 A.U.)
Orbital distance from the Moon to Earth : 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 = = 61