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Base Radius of Cone Formula:
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The Base Radius of a Cone is defined as the distance between the center and any point on the circumference of the base circular surface of the Cone. It is a fundamental measurement in cone geometry that helps determine other properties like volume and surface area.
The calculator uses the formula:
Where:
Explanation: This formula derives the radius from the area of a circle using the inverse relationship between area and radius squared.
Details: Calculating the base radius is essential for determining other cone properties like volume (\( \frac{1}{3}\pi r^2 h \)), slant height, and total surface area. It's fundamental in geometry, engineering, and architectural applications involving conical structures.
Tips: Enter the base area of the cone in square meters. The value must be positive and non-zero. The calculator will compute the corresponding base radius.
Q1: What if I have the diameter instead of the area?
A: If you have the diameter, divide it by 2 to get the radius directly. This calculator is specifically for converting base area to radius.
Q2: Can I use different units of measurement?
A: Yes, but ensure consistency. If you input area in cm², the radius result will be in cm. The calculator uses the same units for input and output.
Q3: What is the precision of the calculation?
A: The calculator uses PHP's built-in mathematical functions with high precision (about 14 decimal places), though results are rounded to 10 decimal places for display.
Q4: Does this work for truncated cones?
A: No, this calculator is specifically for right circular cones with a complete circular base. For truncated cones (frustums), different formulas apply.
Q5: Why is π used in the formula?
A: π (pi) is the fundamental mathematical constant that relates the circumference of a circle to its diameter, and is essential in all circular area calculations.