🔮 Circle Calculator Pro
Calculate circle properties with stunning visual feedback
🎨 Visual Representation
📚 Mathematical Formulas
🎯 From Radius
Where r is the radius of the circle
📐 From Diameter
Where d is the diameter of the circle
⭕ From Circumference
Where C is the circumference of the circle
📚 Understanding Circles: Area & Models
The area of a circle is the amount of two-dimensional space that the circle occupies. It's the region enclosed within the circle's boundary (the circumference).
To find or calculate the area of a circle, you use a specific mathematical formula that involves its radius (or sometimes its diameter).
The formula is:
Area (A) = π × r²
Where:
- A represents the Area of the circle.
- π (pi) is a mathematical constant, approximately equal to 3.14159. For many calculations, using 3.14 or the π button on your calculator is sufficient.
- r represents the radius of the circle. The radius is the distance from the center of the circle to any point on its edge.
Example 1: Let's say you have a circle with a radius of 5 centimeters (cm).
-
Identify the radius (r):
r = 5 cm
-
Square the radius (r²):
r² = 5 cm × 5 cm = 25 cm²
-
Multiply by π (pi):
Area = π × r² = 3.14159 × 25 cm² ≈ 78.54 cm²
Example 2: Suppose a circle has a diameter of 12 inches (in).
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Find the radius (r = d/2):
r = 12 in / 2 = 6 in
-
Square the radius (r²):
r² = 6 in × 6 in = 36 in²
-
Multiply by π:
Area = π × 36 in² ≈ 113.10 in²
🧮 Quick Practice Calculator
The "Three-Circle Model" is a well-known framework in family business management. It's used to understand the interconnected and sometimes conflicting interests and perspectives within a family-owned enterprise.
👨👩👧👦 Family
Members of the owning family. Focus on relationships, legacy, values, and harmony.
💼 Ownership
Individuals who legally own shares. Focus on financial returns and business value.
🏢 Business
Active managers and employees. Focus on strategy, operations, and performance.
The model highlights seven distinct sectors or roles that individuals can occupy based on which circles they belong to (e.g., a family member who is also an owner but not an employee, or an owner-manager who is not part of the family).