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What is the area of a circle with diameter of 10 units?

  1. 25π

  2. 78.54

  3. 15π

  4. 50π

The correct answer is: 50π

The area of a circle is found by using the formula A = πr², where r is the radius. Since the diameter is 10 units, the radius is half that, which is 5 units. Plugging this into the formula, we get A = π(5)² = 25π. While option A (25π) is equal to this, it is not the correct choice as it represents the area of a circle with a radius of 5 units, not a diameter of 10 units. Option B (78.54) and C (15π) are incorrect as they are not related to the formula for finding the area of a circle. Option D (50π) is the correct choice as it represents the area of a circle with a radius of 10 units, which is what we are looking for.