(4) What are the coordinates (X, Y) of the centroid for the cross-section shown below? Units are inches. y 4 -2 -1 +1 +2

Elements Of Electromagnetics
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**Problem Statement:**

(4) What are the coordinates \((x,y)\) of the centroid for the cross-section shown below? Units are inches.

**Diagram Description:**

The diagram depicts a diamond-shaped region on a coordinate plane, with its center at the origin (0,0). The diamond is oriented such that its vertices lie on the y-axis at (0, 4) and (0, -4), and on the x-axis at (2, 0) and (-2, 0). 

Inside the diamond, there is a circular hole with its center on the y-axis at (0, 2). The circle has a diameter of approximately 2 inches, which suggests a radius of about 1 inch. 

Both the diamond and the circle are symmetrically situated in the coordinate plane, with the diamond's sides being parallel to the coordinate axes. The axes are labeled with x and y, and the units are marked in increments of 1 inch along both axes.
Transcribed Image Text:**Problem Statement:** (4) What are the coordinates \((x,y)\) of the centroid for the cross-section shown below? Units are inches. **Diagram Description:** The diagram depicts a diamond-shaped region on a coordinate plane, with its center at the origin (0,0). The diamond is oriented such that its vertices lie on the y-axis at (0, 4) and (0, -4), and on the x-axis at (2, 0) and (-2, 0). Inside the diamond, there is a circular hole with its center on the y-axis at (0, 2). The circle has a diameter of approximately 2 inches, which suggests a radius of about 1 inch. Both the diamond and the circle are symmetrically situated in the coordinate plane, with the diamond's sides being parallel to the coordinate axes. The axes are labeled with x and y, and the units are marked in increments of 1 inch along both axes.
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