Centroid of a Polygon

The centroid of an object refers to what?

• the point at which it is balanced.

• the point at which gravity is the least

• the point at which gravity is the most

• the thickest point of an object.

Which of the following is correct for finding the centroid of this object?

• 1/3 height, 1/2 base
• 1/2 base,  height
• 1/2 height,  1/2 base
• 1/3 base, 1/3 height

What is the centroid of this object? (x,y)

• 0.375 in, 0.25 in
• 0.25 in, 0.375 in
• 0.25 in, 0.25 in
• 0.25 in, 0.167 in

What is the centroid location for the rectangle?

• x = 0.75 in, y = 1.5 in

• x = 1.5 in, y = 0.75

• x = 1.0 in, y = 0.50 in

• x = 0.50 in, y = 1.0 in

What is the centroid location of the smaller triangle?

• x = 0.25 in, y = 0.25 in

• x = 0.5 in , y = 1.75 in

• x = 0.25 in, y = 1.75 in

• x = 0.5 in, y = 0.5 in

What is the centroid location for the larger triangle?

• x = 0.75 in, y = 0.25 in

• x = 0.25 in, y = 0.75 in

• x =1.75 in, y = 1.50 in

• x = 1.50 in, y = 1.75 in

What is the centroid of this object?

• x = 2.71 in, y = 2.71 in

• x = 3 in, y = 3 in

• x = 2.75 in, y = 2.75 in

• x = 3.14 in, y = 3.14 in

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

• x = 6.72 cm, y = 2.85 cm

• x = 3.36 cm, y = 2.85 cm

• x = 13.44 cm, y = 0.62 cm

• x = 3.36 cm, y = 0.57 cm

If i have a rectangle with a length of 250 mm and a height of 60 mm, where is my centroid located?

• x = 125 mm, y = 30 mm

• x = 83 mm, y = 20 mm

• x = 62.5 mm, y = 15 mm

• x = 167 mm, y = 40 mm

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

• Break it into smaller shapes and add the centroid locations together

• Break it into smaller shapes and average the centroid locations

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

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