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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...
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
Calculating Arc Lengths of Simple Functions-I
In this calculating arc lengths worksheet, 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
Solve for the Arc Length Problems
In this arc length 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
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
11.4 Practice B: Circumference and Arc Length
In this circumference and arc length instructional activity, 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...
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.
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 activity, students determine the length an object travels over a given amount of time. This one-page activity contains two problems.
CCSS Math Activities
Satellite
This isn't rocket science, you know. A performance task has learners use right triangle trigonometry to calculate distances from stations on Earth to a satellite. It also requires finding the distance between two stations along the...
Flipped Math
Unit 9 Review: Area of Polygons
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...
Curated OER
Estimating Pi as a Length
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...
Curated OER
Arcs and Sectors
In this arcs and sectors worksheet, 10th graders solve and complete 2 different types of problems. First, they find the radius of a circle with a given circumference. Then, students find the perimeter of the given sector and the area of...
Curated OER
Circles and Arcs, Circumference and Area Multiple Choice
In this circles worksheet, learners determine the circumference and area of circles. They compute the length of an arc and find the radius. This one-page worksheet contains 6 multiple-choice problems. This on-line...
Curated OER
Arcs and Chords
In this circles worksheet, students find missing arc lengths and chords. Students also find the length of radii in three problems.
Curated OER
Inverse Trig Functions
Learners solve and graph 10 different problems that are the inverses of various trig functions. First, they determine which equation is equivalent to a given equation. Then, they find an angle of a right triangle, given its leg lengths....
Curated OER
Arcs in Circles
In this arcs in circles activity, 10th graders identify 10 different circles and the measurement of their arcs. First, they determine the length of a minor arc to the nearest integer. Then, students determine the radius of a circle...
Curated OER
Angles and Arcs
In this angles and arcs activity, 10th graders solve 8 different problems that relate to determining the measure of various angles and arcs of a circle. First, they define a central angle and the difference between a major and minor arc....
Curated OER
Arcs and Chords
In this arcs and chords worksheet, 10th graders solve 7 different types of problems related to identifying arcs and chords in a circle. First, they find the measure of each arc to the nearest tenth, if O is the center point. Then,...
Curated OER
Arcs and Chords
For this arcs and chords worksheet, 10th graders solve 6 different problems related to determining the arcs and chords of various circles. First, they define the 3 theorems that state the relationships between arcs, chords, and...
Curated OER
Angles and Arcs
In this angles and arcs learning exercise, 10th graders solve 18 various types of problems related to determine various angles and arcs of a circle. First, they find the measure of each angle and arc of the first circle shown. Then,...
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