Area & Circumference of a Circle with Radius 4
A circle with radius 4 has an area of 50.2655 (or 16π) and a circumference of 25.1327 (diameter 8).
Exact Answer
A = π × 42 = 50.2655
Area (πr²)
50.2655 (16π)
Circumference (2πr)
25.1327 (8π)
Diameter (2r)
8
Radius (r)
4
Step-by-Step Solution: A = π × 4² = 50.2655
Step 1
Calculate the Area Using A = πr²
Square the radius (4² = 16) and multiply by π (≈ 3.14159265): 16 × π = 50.2655.
A = π × 4² = 16π ≈ 50.2655
Step 2
Calculate the Circumference Using C = 2πr
Multiply 2 × π × 4 = 8π ≈ 25.1327.
C = 2 × π × 4 ≈ 25.1327
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Area (πr²) | 50.2655 (16π) |
| Circumference (2πr) | 25.1327 (8π) |
| Diameter (2r) | 8 |
| Radius (r) | 4 |
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Frequently Asked Questions
What is the circumference of a circle with radius 4?
The circumference is 2 × π × 4 ≈ 25.1327.