Chapter 11: Circumference, Area, and Volume

Flashcards covering key vocabulary and concepts from Chapter 11 on Circumference, Area, and Volume.

Circumference of a circle

The distance around the circle.

Radian

For a circle with radius r, the measure of an angle in standard position whose terminal side intercepts an arc of length r.

Sector of a circle

The region bounded by two radii of the circle and their intercepted arc.

Population density

A measure of how many people live within a given area.

Center of a regular polygon

The center of its circumscribed circle.

Apothem of a regular polygon

The distance from the center to any side of a regular polygon.

Radius of a regular polygon

The radius of its circumscribed circle.

Central angle of a regular polygon

An angle formed by two radii drawn to consecutive vertices of the polygon.

Polyhedron

A solid that is bounded by polygons.

Face

A flat surface of a polyhedron.

Edge of a polyhedron

A line segment formed by the intersection of two faces.

Vertex of a polyhedron

A point where three or more edges meet.

Arc length

A portion of the circumference of a circle.

Cross section

The intersection of a plane and a solid.

Solid of revolution

A three-dimensional figure that is formed by rotating a two-dimensional shape around an axis.

Axis of revolution

The line around which a two-dimensional shape is rotated to form a three-dimensional figure.

Volume of a solid

The number of cubic units contained in its interior.

Cavalieri’s Principle

If two solids have the same height and the same cross-sectional area at every level, then they have the same volume.

Density

The amount of matter that an object has in a given unit of volume.

Similar solids

Two solids of the same type with equal ratios of corresponding linear measures.

Lateral surface of a cone

Consists of all segments that connect the vertex with points on the base edge.

Chord of a sphere

A segment whose endpoints are on the sphere.

Great circle of a sphere

The intersection of a plane and a sphere such that the plane contains the center of the sphere.