Worksheet
Curated OER

Circle Formulas

For Students 10th
Tenth graders apply various circle formulas to determine radii, diameter, circumference, area, arc length, and sector area. The two page worksheet contains twenty-five problems. Answers are not provided. 
Worksheet
Curated OER

Calculating Arc Lengths of Simple Functions-I

For Students 10th - Higher Ed
In this calculating arc lengths activity, students are given 4 simple functions and they use the Pythagorean Theorem and the basic techniques of calculus to find the arc-length formula in order to find the arc-length.
Interactive
CK-12 Foundation

Length of a Plane Curve

For Students 11th - Higher Ed
Challenge your class to use straight lines when estimating the length of a curve. An engaging interactive allows individuals to place line segments one after another along the arc. Learners determine that the more lines used, the better...
Handout
Curated OER

Pre-Calculus Review Sheet

For Students 10th - 12th Standards
Pre-Calculus has some detailed formulas involved and here is a great resource that lumps then all together for you. Broken up into rectangular, polar, and parametric sections, the conics all include formulas and graphs. 
Instructional Video16:02
2
2
Flipped Math

Unit 9 Review: Area of Polygons

For Students 9th - 12th Standards
It's time to show what you know! Individuals first review finding the area of polygons using the formulas from parallelograms to regular polygons. They then brush up on finding the area and circumference of circles, as well as reviewing...
Worksheet
Curated OER

Estimating Pi as a Length

For Students Higher Ed
In this pi worksheet, students evaluate the curve of a quarter of a circle. They analyze the length of the curve, and explain that if the area under the curve is equal to pi, the length of the curve above is also equal to pi. Students...
Worksheet
Curated OER

Formulas Homework

For Students 9th - 12th
In this circle formulas instructional activity, students solve 20 fill in the blank problems. Students find the radius, diameter, circumference, area, arc length, and sector area of a circle.
Worksheet
Curated OER

The Ant and The Turntable-Frames of Reference

For Students 11th - 12th
In this frames of reference worksheet, students solve 5 problems given the details of a journey an ant takes from the center of a CD ROM to its edge. Students draw a scaled sketch of the turntable showing the motion of the ant from...
eBook
Rice University

Calculus Volume 1

For Students 11th - Higher Ed
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
Worksheet
Center for Innovation in Mathematics Teaching

Trigonometry

For Students 9th - 12th Standards
This unit covers the basic trigonometry including understanding radians, how to convert between radians and degrees, the area of a circle subtended by an angle, basic properties and graphs of sine, cosine, tangent, and solving...
Worksheet
Curated OER

Worksheet 21 Spring 1996

For Students 11th - Higher Ed
In this math learning exercise, students consider a path around the unit circle parameterized by σ on the interval [0, 1] with σ(t) = sin(5πt − π), cos(5πt − π). Then they find the vector.
Worksheet
Curated OER

Circles Terminology Multiple Choice

For Students 9th - 12th
In this circles worksheet, learners solve 10 multiple choice problems. Students answer questions about diameter and chord relationships, tangent lines to a circle, circumference, the Pi relationship, etc.
Worksheet
Curated OER

Complex Analysis: Examples of Contour Integration

For Students Higher Ed
In this contour integration worksheet, students evaluate an equation, sketch the contour and evaluate the integral. This two-page worksheet contains approximately eight problems.
Unit Plan
Cuemath

Cuemath: Arc Length

For Students 9th - 10th Standards
Learn all about arc length. This lesson targets what is arc length and the different formulas used to calculate it. Check-out the interactive simulations to know more about the lesson and try your hand at solving a few interesting...
Assessment
Northwestern University

Parametric Equation Arc Length [Pdf]

For Students 9th - 10th
This site does a good job of clearly describing how we find the arc length of a parametric curve. The site works an example and gives the general formula for finding the arc length of a smooth parametric curve.
Handout
CK-12 Foundation

Ck 12: Geometry: Circumference and Arc Length Study Guide

For Students 9th - 10th Standards
This study guide on circumference and arc length covers key vocabulary, the parts of a circle, and formulas for circumference, area, and arc length. It is available for download with free registration.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Arc Length

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] In this lesson students find the length of an arc. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
Handout
Wolfram Research

Wolfram Math World: Arc Length

For Students 9th - 10th
This site from Mathworld.com defines arc length and provides formulas to find arc length in cartesian and polar coordinates, and in three dimensions.
Activity
Math Words

Math Words: Arc Measurements

For Students 9th - 10th Standards
This site offers the formula and an example of finding the length of an arc. The site also supplies a picture of what an arc is in a circle with links to related words.
Handout
Geometry Help

Geometry Help: Arcs, Angles, and Sectors

For Students 9th - 10th Standards
Explains the basic concept of arcs, angles, and sectors with step-by-step instructions and methods for solving specific problems on your own relating to this topic.
Unit Plan
Cuemath

Cuemath: Circles

For Students 3rd - 8th Standards
Explore everything about circles. Learn various parts of a circle like a diameter, radius, circumference, circles chord, tangent circles, major arc, segment, sector, and discover other interesting aspects of it. Try your hand at solving...
Handout
Purple Math

Purplemath: Sectors, Areas, and Arcs

For Students 6th - 8th Standards
Explains formulas for areas of sectors of circles and lengths of arcs. Demonstrates how to use the formulas in each of degrees and radians.
Unit Plan
Cuemath

Cuemath: What Is a Radian?

For Students 9th - 10th Standards
A comprehensive guide for learning all about radians with definitions, formulas, the arc length formula, angles, the circumference, the radius, solved examples, and practice questions.
Graphic
Math2

Math2: Circles

For Students 9th - 10th Standards
This site has many useful formulas and examples relating to circles, including related definitions, circumference of a circle, area of a circle, length of a circular arc, area of a circular sector, equation of a circle in cartesian...