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

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