Area & Circumference of a Circle with Radius 8
A circle with radius 8 has an area of 201.0619 (or 64π) and a circumference of 50.2655 (diameter 16).
Exact Answer
A = π × 82 = 201.0619
Area (πr²)
201.0619 (64π)
Circumference (2πr)
50.2655 (16π)
Diameter (2r)
16
Radius (r)
8
Step-by-Step Solution: A = π × 8² = 201.0619
Step 1
Calculate the Area Using A = πr²
Square the radius (8² = 64) and multiply by π (≈ 3.14159265): 64 × π = 201.0619.
A = π × 8² = 64π ≈ 201.0619
Step 2
Calculate the Circumference Using C = 2πr
Multiply 2 × π × 8 = 16π ≈ 50.2655.
C = 2 × π × 8 ≈ 50.2655
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Area (πr²) | 201.0619 (64π) |
| Circumference (2πr) | 50.2655 (16π) |
| Diameter (2r) | 16 |
| Radius (r) | 8 |
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Frequently Asked Questions
What is the circumference of a circle with radius 8?
The circumference is 2 × π × 8 ≈ 50.2655.