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Worksheets

Centroids

Total questions: 15

Worksheet time: 2hrs 41mins

Name
Class
Date
1.

What is the centroid representing?

a)

The object's center of gravity.

b)

The object's dimensions.

c)

The object's X and Y.

d)

The object's shape.

2.

What is the centroid of the following object?

a)

X=2 in, Y=1 in

b)

X=1 in, Y=2 in

c)

X=4 in, Y=2 in

d)

X=2 in, Y=4 in

3.

What is the centroid of the following object?

a)

X=1 in, Y=2 in

b)

X=3 in, Y=1.5 in

c)

X=2 in, Y=1 in

d)

X=1.5 in, Y=3 in

4.

What is the centroid of the following object?

a)

X=2.5 in, Y=2.5 in

b)

X=5 in, Y=5 in

c)

X=1.06 in, Y=2.5 in

d)

X=1.67 in, Y=1.67 in

5.

What is the centroid of the following object?

a)

X=0.375 in, Y=0.25 in

b)

X=0.25 in, Y=0.375 in

c)

X=0.75 in, Y=0.5 in

d)

X=0.25 in, Y=0.17 in

6.

What is the centroid of the following object?

a)

X=0.17 in, Y=0.33 in

b)

X=0.33 in, Y=0.17 in

c)

X=0.25 in, Y=0.5 in

d)

X=0.5 in, Y=0.25 in

7.

What is the centroid of the following object?

a)

X=1.27 in, Y=3 in

b)

X=3 in, Y=1.27 in

c)

X=3 in, Y=3 in

d)

X=2.55 in, Y=3 in

8.

Σ =

a)

Sigma

b)

Delta

c)

epsilon

d)

Beta

9.

what is the formula for the area of a rectangle?

a)

Width * height

b)

height / width

c)

Width / height

10.

What are you finding with sigma?

a)

the centroid of a square

b)

The total sum

c)

The dived sum

d)

The area of a triangle

11.

Area of a square = ?

a)

Side squared

b)

B/2 , H/2

c)

Width * Height

d)

B/3 , H/3

12.

What is the centroid of the following object?

a)

X=0.85 in, Y=2 in

b)

X=2 in, Y=0.85 in

c)

X=2 in, Y=1.7 in

d)

X=1.7 in, Y=2 in

13.

What is the centroid of this object?

a)

x = 2.71 in, y = 2.71 in

b)

x = 3 in, y = 3 in

c)

x = 2.75 in, y = 2.75 in

d)

x = 3.14 in, y = 3.14 in

14.

If given a complex shape how do you find the true centroid?

a)

Break it into smaller shapes and add the centroid locations together

b)

Break it into smaller shapes and average the centroid locations

c)

Break it into large shapes and subtract the smallest from the largest

d)

Multiply the centroid locations with the shape area, add the products up, divide by total shape area

15.

If you have a semicircle with a radius of 6.72 cm, where is it's centroid located? (length in x, height in y)

a)

x = 6.72 cm, y = 2.85 cm

b)

x = 3.36 cm, y = 2.85 cm

c)

x = 13.44 cm, y = 0.62 cm

d)

x = 3.36 cm, y = 0.57 cm