Inner and Outer Radii

Definition

The inner and outer radii are used to find the area of a region bounded by two curves. The inner radius is the distance from the axis of rotation to the inner curve, while the outer radius is the distance from the axis of rotation to the outer curve.

Analogy

Imagine you have a stack of pancakes. The inner radius would be like measuring from the center of each pancake to its edge, while the outer radius would be like measuring from one edge of a pancake to another.

Related terms

dx: In calculus, dx represents an infinitesimally small change in x. It is often used when finding areas or calculating derivatives.

dy: Similar to dx, dy represents an infinitesimally small change in y. It is also commonly used in calculus for finding areas or calculating derivatives.

Axis of Rotation: The axis around which a shape rotates. It can be any line or point within a given coordinate system.