Centroid In Exercises 77 and 78, find the centroid of the region bounded by the graphs of the equations using any method.
To calculate: The centroid of region that is bounded by graphs of the equations and .
The region is bounded by where .
Formula for centroid,
Where, is the first moment of area of region about axis.
Here, is the area of the region.
To draw the graph of the region, Find the corresponding values of the y for the different values of x by using the equation .
Table for different values of x and y:
The graph obtained is:
The graph obtained is a semicircle of radius 1.
Area of the semi-circular region,
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