Illustrative Mathematics
Two Wheels and a Belt
Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...
Illustrative Mathematics
Satellite
Learners practice relating rules of trigonometry and properties of circles. With a few simplifying assumptions such as a perfectly round earth, young mathematicians calculate the lengths of various paths between satellite and...
Mathematics Vision Project
Circles: A Geometric Perspective
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
Curated OER
Circle Formulas
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.
Curated OER
Arc Length Transparencies
In this geometry worksheet, students use an arc length transparency to calculate the circumference and arc length of a circle. There are 18 questions.
Curated OER
Arc Length Lesson
Learners find the length of the arc of a circle. In this geometry instructional activity, students calculate the length of an arc and find the measure of the central angle given the length of the arc. They convert between linear and...
Curated OER
Arc Length and Sector Area
In this arc length worksheet, students find the designated arc length of various circles. They determine the area of each sector. This four-page worksheet contains 24 problems. Answers are provided on the last two pages.
Curated OER
Solve for the Arc Length Problems
In this arc length instructional activity, students solve for the arc length for four angles. Three of the angles are given in degrees while the other angle length is given in radians. The solutions are not provided.
Curated OER
Arc Length - Horse
Students define an arc and calculate its length. In this geometry lesson, students find examples of arc in the real world. They show their understanding of arcs through problem solving.
Curated OER
Radians, Arc Length, and the Area of a Sector
In this college level geometry worksheet, students convert between degrees and radians. Students determine arc length and solve problems involving the area of a sector. The four page worksheet contains seventy-four...
Curated OER
11.4 Practice B: Circumference and Arc Length
For this circumference and arc length worksheet, students determine the circumference, radius, and arc length of circles. They find the area of a shaded region within a circle. Students determine the probability that a randomly chosen...
Curated OER
Arc Length and Radian Measure
In this arc length worksheet, students convert radians to degrees and degrees to radian measure. Ten problems are provided on this one-page worksheet.
Curated OER
Geometry of Circles - Week 7 (Area & Circumference)
In this circle worksheet, students solve problems involving the circumference, area and arc length in a circle. They explore the union of circles and semicircles, as well as the line segments tangent to the circle. This two-page...
Curated OER
Geometry of Circles: Week 7
In this circle worksheet, students determine the number of degrees in a minor arc, find the area of a circle, find the area of a shaded region. This two-page worksheet contains six problems.
Curated OER
Parametric Equations: Speed, Arc Length
In this parametric equation worksheet, students determine the length an object travels over a given amount of time. This one-page worksheet contains two problems.
Mathematics Archives
Math Archives: Visual Calculus: Arc Length
This site explains the arc length. The site has links to related topics and examples.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Applications of Integrals
Hotmath provides 24 practice problems dealing with integral applications. Each of the practice problems include a step-by-step guide for solving their application.
Texas Education Agency
Texas Gateway: Determining Arc Length
Given a problem situation involving sectors of circles, the student will use proportional reasoning to solve the problem.
Northwestern University
Parametric Equation Arc Length [Pdf]
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.
University of St. Andrews (UK)
University of St. Andrews: Elliptic Functions
Good site with many of the elliptic functions given.
Cuemath
Cuemath: Arc Length
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...
Math2
Math2: Circles
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...
University of Georgia
University of Georgia: Arcs, Central Angles, Arc Length & Sector Area
This site provides practice problems for calculating central angles and calculating arc length.
Texas Instruments
Texas Instruments: Arc Length and Area of Sectors
This is an introduction to finding the arc length and area of sectors of circles. Students should have the formulas for Circumference and Area of circles.