How can I calculate the area of a circle if I only know its diameter?

To find the area of a circle using its diameter, you can follow these simple steps:

  1. Understand the formula: The area A of a circle is calculated using the formula: A = πr², where r is the radius of the circle. The radius is half the diameter.
  2. Determine the radius: If you have the diameter d, you can find the radius by dividing the diameter by 2: r = d / 2.
  3. Substitute the radius into the area formula: After calculating the radius, plug that value into the area formula.
  4. Calculate the area: Now, just compute the area using the value of π (approximately 3.14 or for a more precise value, you can use 3.14159). For example, if the diameter of the circle is 10 units, the radius would be 5 units:
    • r = 10 / 2 = 5
    • A = π * (5)²
    • A = π * 25
    • A ≈ 3.14 * 25 ≈ 78.5 square units
  5. Final Result: Your area is approximately 78.5 square units.

By following these steps, you can easily calculate the area of a circle as long as you know its diameter. This method is straightforward and will give you accurate results every time!

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