EngageNY
Arc Length and Areas of Sectors
How do you find arc lengths and areas of sectors of circles? Young mathematicians investigate the relationship between the radius, central angle, and length of intercepted arc. They then learn how to determine the area of sectors of...
CK-12 Foundation
Conversion between Degrees and Radians: Arc and Radians Relationship
How are arc lengths and radians related? An interactive resource demonstrates the relationship as pupils create arc lengths in a unit circle and compare them to the angle measurements. Questions ask individuals to build upon this...
Virginia Department of Education
Arc Length and Area of a Sector
What do skateboarding and baked goods have in common with math? You can use them to connect half-pipe ramps and cakes to arcs and sectors. Pupils compare the lengths of three different ramp options of a skate park. They calculate the...
Mathed Up!
Area of Sector and Length of Arcs
Viewers learn how to apply proportional reasoning to find area of sectors and arc lengths with a video that starts off explaining how to find the areas of circle sectors and the lengths of arcs. Scholars then practice solving problems...
Flipped Math
Circles and Arc Lengths
Discuss all things round and round. Pupils review finding area and the circumference of circles and use them to solve problems. Next, they learn about central angles and their relationships to measures of arcs. Learners then find out how...
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.
CK-12 Foundation
Length of an Arc: Pi Hour
What time is it when the arc length is pi? An interactive displays the measure of the angle created between the hour and minute hand of a clock. Pupils can set the clock to different hours and calculate the arc length based upon the radius.
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 lesson, 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 angular speed. They...
EngageNY
Unknown Length and Area Problems
What is an annulus? Pupils first learn about how to create an annulus, then consider how to find the area of such shapes. They then complete a problem set on arc length and areas of sectors.
Curated OER
Calculating Arc Lengths of Simple Functions-I
In this calculating arc lengths instructional 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.
Curated OER
Properties of Arcs, Lengths and Chords
Students differentiate between the different properties of arcs, arc lengths, chords, and chord lengths. In this circles lesson, students calculate the arc length of a given circle, and find the measure of the inscribed angles of a...
Curated OER
Solve for the Arc Length Problems
In this arc length worksheet, 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
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 problems. Answers...
Curated OER
Circle Formulas
Tenth graders apply various circle formulas to determine radii, diameter, circumference, area, arc length, and sector area. The two page activity contains twenty-five problems. Answers are not provided.
Curated OER
11.4 Practice B: Circumference and Arc Length
In this circumference and arc length learning exercise, 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...
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
Arc Length and Sectors
Find the length of an arc. Students relate central angles to the area and length of a sector and graph circles on the TI to make predictions.
Curated OER
Gateway Arc Length
Learners differentiate and calculate the length of an arc. They define an arc and relate it to the area of a circle and integrate the function to solve the equations. Students use their TI calculators to graph the equation.
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.
CK-12 Foundation
Length of a Plane Curve
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...
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 Vision Project
Module 5: Circles A Geometric Perspective
Circles, circles, everywhere! Pupils learn all about circles, central angles, inscribed angles, circle theorems, arc length, area of sectors, and radian measure using a set of 12 lessons. They then discover volume formulas through...
Curated OER
Shot Put Arc
Students complete Part A: Dissecting a Circle. They generate their own chords within the circle. Students measure the various parts of the arc in the shot put pit. The first two measurements, the chord and distance from the midpoint of...