To calculate the angle of the conical frustum:
\[ \theta = \text{atan}\left(\frac{R_1 - R_2}{h}\right) \times \left(\frac{180}{\pi}\right) \]
Where:
A conical frustum is a portion of a cone that lies between two parallel planes cutting the cone. It has a circular top and bottom with different radii and a height that is the perpendicular distance between the two parallel planes. Conical frustums are commonly found in various engineering and architectural applications, such as in the design of funnels, towers, and other structures that require a tapered shape.
Example 1: If the top radius (R₁) is 5 units, the bottom radius (R₂) is 3 units, and the height (h) is 10 units:
\[ \theta = \text{atan}\left(\frac{5 - 3}{10}\right) \times \left(\frac{180}{\pi}\right) \approx 11.31^\circ \]
The angle of the Conical Frustum is approximately 11.31°.
Example 2: If the top radius (R₁) is 7 units, the bottom radius (R₂) is 4 units, and the height (h) is 12 units:
\[ \theta = \text{atan}\left(\frac{7 - 4}{12}\right) \times \left(\frac{180}{\pi}\right) \approx 14.74^\circ \]
The angle of the Conical Frustum is approximately 14.74°.
