Circle Calculator
Enter a value in only one field below and the other parameters will be computed.
Calculation Steps
๐ Definition of a Circle
A circle is a two-dimensional geometric shape where all points on the boundary are equidistant from a fixed center point. The fixed distance is known as the radius, and the boundary is called the circumference.
๐ Key Circle Formulas
Circle calculations are based on the following formulas:
- Area: A = ฯ ร rยฒ
- Circumference: C = 2 ร ฯ ร r
- Diameter: D = 2 ร r
- Radius: r = D รท 2
๐ Examples of Circle Calculations
| Radius (r) | Area (ฯrยฒ) | Circumference (2ฯr) | Diameter (2r) |
|---|---|---|---|
| 3 | 28.27 | 18.85 | 6 |
| 5 | 78.54 | 31.42 | 10 |
| 10 | 314.16 | 62.83 | 20 |
๐ง Practical Applications of Circle Calculations
1. Engineering & Manufacturing: Used in designing wheels, gears, and pipes.
2. Architecture & Construction: Helps in planning circular structures and layouts.
3. Science & Astronomy: Used in calculations related to planetary orbits and optical lenses.
4. Transportation: Essential for tire design, railway curves, and aerodynamics.
โ FAQs
Q1: How do I find the circumference of a circle?
โ
Use the formula C = 2 ร ฯ ร r, where r is the radius.
Q2: What is the difference between radius and diameter?
โ
The diameter is twice the radius (D = 2r).
Q3: How do I calculate the radius from the diameter?
โ
Divide the diameter by 2 (r = D รท 2).
Q4: Can I calculate the area if I only know the circumference?
โ
Yes, first find the radius using r = C รท (2ฯ) and then apply A = ฯ ร rยฒ.
Q5: Where are circle calculations commonly used?
โ
In geometry, engineering, physics, construction, and astronomy.