Calculating Centroids of Compound Areas
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Thomas White
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the centroid of a compound area?
Calculate the total area
Divide the shape into familiar parts
Set up a coordinate system
Find the x-bar and y-bar
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to keep the original numbers when setting up the calculation table?
To simplify the coordinate system
To make the table look organized
To ensure accuracy in the final results
To avoid recalculating the areas
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of setting up a coordinate system before finding x-bar and y-bar?
To avoid errors in the table
To make the calculations easier
To determine the total area
To ensure consistent results
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Where is the typical location for setting up the coordinate system?
At the center of the shape
At the top right corner
At the very left corner
At the bottom right corner
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the x-bar for the centroid of area number one?
125
100
75
50
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the y-bar for area number two calculated?
By multiplying the height by 0.5
By subtracting 30 millimeters from 150
By dividing the total height by two
By adding 30 millimeters to half of 150
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it necessary to add 30 millimeters in the y-bar calculation for area two?
To adjust for the coordinate system
To correct a previous error
To simplify the calculation
To account for the x-axis
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