The formula to calculate the Annular Ring (AR) is:
\[ AR = 2 \pi (R + r) \]
Where:
Let's say the outer radius (R) is 10 inches and the inner radius (r) is 5 inches. Using the formula:
\[ AR = 2 \pi (10 + 5) \]
We get:
\[ AR = 2 \pi \times 15 = 94.25 \text{ inches} \]
So, the annular ring is approximately 94.25 inches.
Definition: The annular area is the area of a ring-shaped object, calculated as the difference between the areas of two concentric circles.
Formula: \( A = \pi (R^2 - r^2) \)
Example: \( A = \pi (10^2 - 5^2) \)
Definition: The annular volume is the volume of a cylindrical ring, calculated as the difference between the volumes of two concentric cylinders.
Formula: \( V = \pi h (R^2 - r^2) \)
Example: \( V = \pi \times 10 \times (8^2 - 3^2) \)
Definition: An annulus is the region between two concentric circles.
Formula: \( A = \pi (R^2 - r^2) \)
Example: \( A = \pi (7^2 - 4^2) \)
