Which term represents the geometric center of a solid?

Which term represents the geometric center of a solid?

• A. Center of Gravity
• B. Circumscribe
• C. Tangent
• D. Centroid

Answer: (D)

The concept being tested is the centroid—the geometric center or balancing point of a solid with uniform density. For such a solid, the centroid is the point around which the shape would balance in every direction, and it also corresponds to the center of mass in a uniform density material. In a uniform gravitational field, the center of gravity coincides with the centroid, which is why this term is used for the geometric center. The other terms don’t describe the center of a solid: the center of gravity refers to where weight acts due to gravity (not purely the shape’s geometry), circumscribe is about drawing around a figure, and tangent refers to a line that touches a curve or surface at a point.

The concept being tested is the centroid—the geometric center or balancing point of a solid with uniform density. For such a solid, the centroid is the point around which the shape would balance in every direction, and it also corresponds to the center of mass in a uniform density material. In a uniform gravitational field, the center of gravity coincides with the centroid, which is why this term is used for the geometric center.

The other terms don’t describe the center of a solid: the center of gravity refers to where weight acts due to gravity (not purely the shape’s geometry), circumscribe is about drawing around a figure, and tangent refers to a line that touches a curve or surface at a point.