Area & Circumference of a Circle with Radius 13
A circle with radius 13 has an area of 530.9292 (or 169π) and a circumference of 81.6814 (diameter 26).
Exact Answer
A = π × 132 = 530.9292
Area (πr²)
530.9292 (169π)
Circumference (2πr)
81.6814 (26π)
Diameter (2r)
26
Radius (r)
13
Step-by-Step Solution: A = π × 13² = 530.9292
Step 1
Calculate the Area Using A = πr²
Square the radius (13² = 169) and multiply by π (≈ 3.14159265): 169 × π = 530.9292.
A = π × 13² = 169π ≈ 530.9292
Step 2
Calculate the Circumference Using C = 2πr
Multiply 2 × π × 13 = 26π ≈ 81.6814.
C = 2 × π × 13 ≈ 81.6814
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Area (πr²) | 530.9292 (169π) |
| Circumference (2πr) | 81.6814 (26π) |
| Diameter (2r) | 26 |
| Radius (r) | 13 |
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Frequently Asked Questions
What is the circumference of a circle with radius 13?
The circumference is 2 × π × 13 ≈ 81.6814.