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

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

Options:

Correct Answer: 25π square units

Solution:

Area = π * (radius^2) = π * (5^2) = 25π square units.

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

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

Step 1: Identify the diameter of the circle, which is given as 10 units.
Step 2: Calculate the radius of the circle. The radius is half of the diameter, so divide the diameter by 2: 10 units / 2 = 5 units.
Step 3: Use the formula for the area of a circle, which is Area = π * (radius^2).
Step 4: Substitute the radius into the formula: Area = π * (5^2).
Step 5: Calculate the square of the radius: 5^2 = 25.
Step 6: Multiply by π: Area = π * 25.
Step 7: Write the final answer: The area of the circle is 25π square units.

Area of a Circle – The area of a circle is calculated using the formula A = π * r^2, where r is the radius.
Diameter to Radius Conversion – Understanding that the radius is half of the diameter is crucial for correctly applying the area formula.