Download Geometry Unit 8 - math-b

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
 Pythagorean

C2 = A2 + B2
 Distance
 Distance
 Equation

Theorem
Formula
= √{𝑥1 − 𝑥2)2 + {𝑦1 − 𝑦2)2
of a circle
Radius= √{𝑥1 − ℎ)2 + {𝑦1 − 𝑘)2
 Exp1
–4
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Page 638 – 639

#’s 1 – 39 odd
Do Now:
Lesson 2
Find the equation of a circle if the
center is at (3, -4) and the radius is 5
 IN
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10.1 Tangents
Understand 10 definitions Page 595
Page 596
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Perpendicular Tangents
Exp: 4 - 5
Page 598 Two Tangent Theorem
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Internally / Externally Tangent
Page 597
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CLASS
Exp 6-7
Page 599 #’s 1 – 15 odd
Page 599 – 600
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#’s 18 – 25 ALL
 HOMEWORK
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Page 599 #’s 1 – 15 odd
Page 599 – 600
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#’s 18 – 25 ALL
#’s 27 – 39 ODD
Lesson 3
Do Now:
Page 600 problem # 38
Radius =12
A
Is BA tangent to
circle “C”?
16
 IN
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12
C
8
B
10.2 Arcs and Chords
Understand be able to draw
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CLASS
 HOMEWORK
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
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
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?
Do Now:
Lesson 4 SFW
Honors and Warnings
with your Parents
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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
ATTENTIVE:
READ THE DIRECTIONS
List out the information you have.
DRAW a picture
I
Work problem through to CONCLUSION
What should the answer look like?
If in doubt; take a best guess
BE
CRITICAL:
CHECK ALL your answers.
Put answers back into original problem
and see if it works
BE
RESPONSIBLE:
Fix errors.
“DO” (AICR them) EVERY problem
75%
BE
80%
BE NSIGHTFUL:
90%
100%
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
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
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
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

Review 10.2 Page 608
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 HOMEWORK
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Page 616#’s 1 – 8 ALL
Page 617 #’s 9 -29 all
Page 619 #42, 43
Page 620 # 48 – 62 ALL
#’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


CLASS
Lesson 3 Two Parts
Inscribed angles
Inscribed Angle and Intercepted Arc
Congruent Arc = congruent Inscribed angles
Page 616#’s 1 – 8 ALL
Page 617 #’s 9 -29 all
Do Now:
How Fast are you riding
your Bike?
Wheel diameter:
Pedals per Minute:
pedal to wheel ratio:
 IN

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CLASS
10.4 Exp 1, 2, 3
Understand be able to draw
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Lesson 3
“other” circle angles
Interior Chords intersections
Measures of Angles formed by 2 chords
Page 624#’s 9 – 33 Odd
 HOMEWORK

Page 624#’s 8 – 34 ALL
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?
 HOMEWORK
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 IN
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CLASS
10.4 Exp 1, 2, 3
Understand be able to draw

Dist= _____________ Km
Page 624#’s 8 – 34 ALL
Page 624#’s 40 – 51 ALL
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:
 Radius of the Moon:
 Orbital
698,500
1,738
km
km
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:
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Radius is 3.5
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Center is at (2,0)
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3.52 = ( x – 2 )2 + (y – 0 )2
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b)
Center is at (2, 4) and it goes through the point (8, 10)
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R2 = ( x – 2 )2 + (y – 4 )2
R2 = ( 8 – 2 )2 + (10 – 4 )2
R2 = ( 5 )2 + (6 )2 = 25 + 36 = 61