Area & Circumference of a Circle with Radius 3
A circle with radius 3 has an area of 28.2743 (or 9π) and a circumference of 18.8496 (diameter 6).
Exact Answer
A = π × 32 = 28.2743
Area (πr²)
28.2743 (9π)
Circumference (2πr)
18.8496 (6π)
Diameter (2r)
6
Radius (r)
3
Step-by-Step Solution: A = π × 3² = 28.2743
Step 1
Calculate the Area Using A = πr²
Square the radius (3² = 9) and multiply by π (≈ 3.14159265): 9 × π = 28.2743.
A = π × 3² = 9π ≈ 28.2743
Step 2
Calculate the Circumference Using C = 2πr
Multiply 2 × π × 3 = 6π ≈ 18.8496.
C = 2 × π × 3 ≈ 18.8496
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Area (πr²) | 28.2743 (9π) |
| Circumference (2πr) | 18.8496 (6π) |
| Diameter (2r) | 6 |
| Radius (r) | 3 |
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Frequently Asked Questions
What is the circumference of a circle with radius 3?
The circumference is 2 × π × 3 ≈ 18.8496.