This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
How do you find the area of a circle?
Mathematics
ScanSolve AI Answer
3 stepsAnswer
π × 5² = π × 25 = 78.54 cm²
The area of a circle is calculated using the formula A = πr², where r is the radius (the distance from the center to the edge).
Step-by-step:
- Measure or identify the radius (r)
- Square the radius: r²
- Multiply by π (approximately 3.14159)
Example: If the radius is 5 cm: A = π × 5² = π × 25 = 78.54 cm²
If you're given the diameter (d) instead, remember that r = d/2. So the formula becomes A = π(d/2)² = πd²/4.
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Quick Answer
The area of a circle is calculated using the formula A = πr², where r is the radius (the distance from the center to the edge).
ScanSolve AI Answer
The area of a circle is calculated using the formula A = πr², where r is the radius (the distance from the center to the edge). Step-by-step: 1. Measure or identify the radius (r) 2. Square the radius: r² 3. Multiply by π (approximately 3.14159) Example: If the radius is 5 cm: A = π × 5² = π × 25 = 78.54 cm² If you're given the diameter (d) instead, remember that r = d/2. So the formula becomes A = π(d/2)² = πd²/4.