Area & Circumference of a Circle with Radius 12
A circle with radius 12 has an area of 452.3893 (or 144π) and a circumference of 75.3982 (diameter 24).
Exact Answer
A = π × 122 = 452.3893
Area (πr²)
452.3893 (144π)
Circumference (2πr)
75.3982 (24π)
Diameter (2r)
24
Radius (r)
12
Step-by-Step Solution: A = π × 12² = 452.3893
Step 1
Calculate the Area Using A = πr²
Square the radius (12² = 144) and multiply by π (≈ 3.14159265): 144 × π = 452.3893.
A = π × 12² = 144π ≈ 452.3893
Step 2
Calculate the Circumference Using C = 2πr
Multiply 2 × π × 12 = 24π ≈ 75.3982.
C = 2 × π × 12 ≈ 75.3982
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Area (πr²) | 452.3893 (144π) |
| Circumference (2πr) | 75.3982 (24π) |
| Diameter (2r) | 24 |
| Radius (r) | 12 |
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Frequently Asked Questions
What is the circumference of a circle with radius 12?
The circumference is 2 × π × 12 ≈ 75.3982.