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- Similarity and Proportions 1
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- Pythagorean Theorem 2 (more questions)
- Area and Perimeter of Polygons 1
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- Area and Perimeter of Complex Shapes
- Area of Shapes (Honors)
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- Surface Area and Volume (Advanced)
- Circles Introduction
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- Circles Review (Honors)
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- Coordinate Geometry 3 Drawing Exercise
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- Periodic Functions I - Sine (Graphs)
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- Polynomials: Factors, Roots & Theorems I
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- Polynomials: Factors, Roots, & Theorems III (Honors)
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- Algebra II/Trig Practice Exam
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- Continuity & Differentiability
- Intro to Derivatives
- Derivative Rules: Product/Quotient, Chain & Power
- Derivative Rules: Trigonometry Functions
- Chain Rule
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- Applications of derivatives
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- Sketching Graphs 1: 1st and 2nd derivatives
- Sketching Graphs 2: anti-derivatives
- Position Velocity Speed Acceleration
- Implicit Differentiation
- Related Rates of Change
- Using Derivatives in Economics
- Intro to Integrals
- Antiderivatives and Integrals
- Fundamental Theorem of Calculus (Part 1)
- Trapezoid Rule
- Definite Integrals & Fundamental Theorem of Calculus (Part 2)
- Definite Integrals Concepts and Applications
- Definite Integrals and Area Between Curves
- Natural log and e
- Improper Integrals
- Volumes of Solids 1
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- Arc Length
- Trig Substitutions
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- TI nspire cx cas calculator tutorial 0
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- TI nspire cx cas calculator project 6
- Gate B/ACT/SAT Topics
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- Challenging ACT/SAT practice test 1
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- ACT Hidden Message Puzzle 1
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- SAT Subject Test Level 2 Topics to know
- SAT Math Level 2 Practice Test A
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- SAT Math Level 2 Practice Test C
- SAT Math Level 2 Practice Test D
- SAT Math Level 2 Practice Test E
- SAT Math Level 2 Practice Test F
- SAT 2 Hidden Message Puzzle
- Gate C/Math Places around the Virtual World
- Gate D/Webcomics
- Math Comics Archive (Fall 2011)
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- About Us
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- 2019 Summer Road Trip with Norway the Husky (around Lake Michigan)
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- 2022 Winter Road Trip with Norway the Husky (Route 66)
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- Bring Oscar
Arc Length & Sector Area
Webcomic #6 - "Noah's Arc" (11-18-11)
Since radian measure and degree measure of central angles are related, we can determine parts of a circle in different ways.
Click to select larger image.
Right click to view or save to desktop.
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Download Free Arc Length and Sector Area .pdf file
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Sector Area Question:
A cow is tethered to a 100-foot rope, attached to the inside corner of an L-shaped building (as shown in the diagram).
Can you find the grazing area of the cow?
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Connections
Interactive lesson about arc length and radian measure from themathpage.com
Review properties of circles, sector area, and arc length in the mathplane geometry section
Are you taking the ACT or SAT? Looking to improve test scores? Download 200 SAT/ACT math practice questions (and support the mathplane sites!)
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Math Comic #172 - "Pink Floyd" - (1-8-15)
Visit the Weekly webcomic gallery
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Information
- Area of Circle
- Circumference of Circle
- Degrees - Radians
- trig functions
- area of triangle
- cow tethered area question
- angular and linear speed
