Area & Circumference of a Circle with Radius 2
A circle with radius 2 has an area of 12.5664 (or 4π) and a circumference of 12.5664 (diameter 4).
Exact Answer
A = π × 22 = 12.5664
Area (πr²)
12.5664 (4π)
Circumference (2πr)
12.5664 (4π)
Diameter (2r)
4
Radius (r)
2
Step-by-Step Solution: A = π × 2² = 12.5664
Step 1
Calculate the Area Using A = πr²
Square the radius (2² = 4) and multiply by π (≈ 3.14159265): 4 × π = 12.5664.
A = π × 2² = 4π ≈ 12.5664
Step 2
Calculate the Circumference Using C = 2πr
Multiply 2 × π × 2 = 4π ≈ 12.5664.
C = 2 × π × 2 ≈ 12.5664
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Area (πr²) | 12.5664 (4π) |
| Circumference (2πr) | 12.5664 (4π) |
| Diameter (2r) | 4 |
| Radius (r) | 2 |
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Frequently Asked Questions
What is the circumference of a circle with radius 2?
The circumference is 2 × π × 2 ≈ 12.5664.