Area & Circumference of a Circle with Radius 5
A circle with radius 5 has an area of 78.5398 (or 25π) and a circumference of 31.4159 (diameter 10).
Exact Answer
A = π × 52 = 78.5398
Area (πr²)
78.5398 (25π)
Circumference (2πr)
31.4159 (10π)
Diameter (2r)
10
Radius (r)
5
Step-by-Step Solution: A = π × 5² = 78.5398
Step 1
Calculate the Area Using A = πr²
Square the radius (5² = 25) and multiply by π (≈ 3.14159265): 25 × π = 78.5398.
A = π × 5² = 25π ≈ 78.5398
Step 2
Calculate the Circumference Using C = 2πr
Multiply 2 × π × 5 = 10π ≈ 31.4159.
C = 2 × π × 5 ≈ 31.4159
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Area (πr²) | 78.5398 (25π) |
| Circumference (2πr) | 31.4159 (10π) |
| Diameter (2r) | 10 |
| Radius (r) | 5 |
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Frequently Asked Questions
What is the circumference of a circle with radius 5?
The circumference is 2 × π × 5 ≈ 31.4159.