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Which formula is used to calculate the area of a circle?

A = πr^2

The formula used to calculate the area of a circle is A = πr². In this formula, A represents the area, π (pi) is a constant approximately equal to 3.14159, and r is the radius of the circle. The area of a circle is derived from the concept of how much space is enclosed within the circle's boundary. By squaring the radius (r²) and multiplying by π, you effectively determine the total area encompassed by the circle.

The other options represent formulas for different geometric shapes or principles. For instance, A = 2πr gives the circumference of a circle rather than the area. A = lw represents the area of a rectangle, where l is the length and w is the width. Lastly, A = bh/2 is the formula for the area of a triangle, where b is the base and h is the height. Understanding the distinction between these formulas helps clarify why A = πr² specifically calculates the area of a circle.

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A = 2πr

A = lw

A = bh/2

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