Classroom Activity 2 1. Use the Theorem of Pappus to find the centroid of the region bounded by the upper semicircle y = VR" -x* and the x-axis 2. Find the centroid of a semi-circular arc of radius a. 3. Find the centroid of a semi-circular area of radius a. 4. Use the Theorem of Pappus to show that the -coordinate of the centroid of a triangular region is located at the point that is one third of the distance along the altitude from the base of the triangle. Exercises 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
Problem 53E
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Classroom Activity 2
1. Use the Theorem of Pappus to find the centroid of the region bounded by the upper
semicircle y = VR -x² and the x-axis
2. Find the centroid of a semi-circular arc of radius a.
3. Find the centroid of a semi-circular area of radius a.
4. Use the Theorem of Pappus to show that the -coordinate of the centroid of a triangular
region is located at the point that is one third of the distance along the altitude from the
base of the triangle.
Exercises 4
Transcribed Image Text:Classroom Activity 2 1. Use the Theorem of Pappus to find the centroid of the region bounded by the upper semicircle y = VR -x² and the x-axis 2. Find the centroid of a semi-circular arc of radius a. 3. Find the centroid of a semi-circular area of radius a. 4. Use the Theorem of Pappus to show that the -coordinate of the centroid of a triangular region is located at the point that is one third of the distance along the altitude from the base of the triangle. Exercises 4
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