Consider a piece of wire with uniform density. It is the quarter of a circle in the first quadrant. The circle is centered at the origin and has radius 3. Find the centroid (x¯,y¯)of the wire. The answers I have tried are 4pi and 4/pi and neither have been correct. only HANDWRITTEN answer needed ( NOT TYPED)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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Consider a piece of wire with uniform density. It is the quarter of a circle in the first quadrant. The circle is centered at the origin and has radius 3. Find the centroid (x¯,y¯)of the wire.

The answers I have tried are 4pi and 4/pi and neither have been correct.

only HANDWRITTEN answer needed ( NOT TYPED)

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