Curated OER
Quiz: Area of Sector and Segment
In this area of sector and segment activity, students find the area of a shaded sector. Given the central angle of a segment and the radius, students identify the area of a sector. This one-page activity contains ten problems.
Curated OER
Angle and Radian Measure
In this angle and radian measure worksheet, students find the measurement of a central angle. Students determine the speed of rotation, linear speed of a point, and radians per second. This two-page worksheet contains twelve problems. ...
Curated OER
Worksheet 29 Spring 1999
In this math worksheet, students describe in terms of reflections what happens to a point when (r, θ) in polar coordinates changes. They also discuss the concept of symmetry.
Curated OER
Worksheet 21 Spring 1996
In this math worksheet, 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.
Curated OER
Word Problems that involve Circles
In this geometry learning exercise, 10th graders solve application word problems based on knowledge of a circle. The one page interactive learning exercise contains four questions. Answers and hints are included.
Curated OER
MT-A141 PreCalculus: Worksheet 6.1
In this precalculus worksheet, students complete a table of common angle equivalences and compare them to radians. Using their calculator they examine the difference between angles in degrees and the answer in radians. Students...
Curated OER
Connecting Area Formulas Produces a Beautiful Formula
In this math worksheet, students find the area of the triangle using the formula of 1/2 bh. Then they find the area using an alternative method.
Curated OER
Math 53 - Review for Midterm 1
In this review for midterm, students use parametric equations to find points on a curve, explore conic sections, write vector functions, and sketch cylindrical coordinates. This two-page review contains 10 multi-step problems.
Curated OER
Complex Analysis: Examples of Contour Integration
In this contour integration worksheet, students evaluate an equation, sketch the contour and evaluate the integral. This two-page worksheet contains approximately eight problems.
![Parametric Equation Arc Length [Pdf] Unknown Type](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "Parametric Equation Arc Length [Pdf] Unknown Type")
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.
Math Graphs
Houghton Mifflin: Math Graphs: Arc Length [Pdf]
The problem investigates arc length. The practice exercise has students label and interpret graphs. The handout is available in PDF format.
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