Geometry Unit 8Chapter 10 CIRCLES

10.1 Tangents to Circles 10.2 Arcs & Chords10.3 Inscribed Angles10.4 Other Angle Relationships in Circles 10.5 Segment Lengths in Circles 10.6 Equations of a Circle

Do Now:Find the distance between the two coordinates A=(3,4) and B = (5, 3)

Pythagorean Theorem C2 = A2 + B2

Distance Formula Distance = 2 + 2

Equation of a circle Radius= 2 + 2

Exp1 – 4

Lesson 1

HOMEWORK Page 638 – 639

#’s 1 – 39 odd

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

Lesson 2

HOMEWORK Page 599 #’s 1 – 15

odd Page 599 – 600

#’s 18 – 25 ALL #’s 27 – 39 ODD

Do Now:Page 600 problem # 38Radius =12Is BA tangent to circle “C”?

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

Lesson 3

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?

168

12A

B

C

Do Now:Honors and Warningswith your Parents

Lesson 4 SFW

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 DIRECTIONSList out the information you have. DRAW a picture

80% BE INSIGHTFUL: Work problem through to CONCLUSIONWhat 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

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.

Lesson 4 SFW

HonorsHow 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 stakesYou have a 700 yard roll of stringYou have a 200 yard tape measure

H

R

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?

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 Two PartsInscribed angles

HOMEWORK Page 616#’s 1 – 8 ALL Page 617 #’s 9 -29 all Page 619 #42, 43 Page 620 # 48 – 62

ALL

Do Now:How Fast are you riding your Bike?Wheel diameter:Pedals per Minute:pedal to wheel ratio:

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 3 “other” circle angles

HOMEWORK Page 624#’s 8 – 34 ALL

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

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

Lesson 4 “other” circle angles

HOMEWORK Page 624#’s 8 – 34 ALL 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