Area of a circle is given by which equation?

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Multiple Choice

Area of a circle is given by which equation?

Area depends on the square of the radius, with π linking linear measurements to area. If you double the radius, the area becomes four times as large, showing the r^2 relationship. That makes the correct formula A = π r^2. The other expressions mix linear and area quantities: π r would be a length, 2π r is the circumference, and π d^2 would not match how diameter relates to radius (since d = 2r, that would give πd^2 = 4πr^2, not πr^2).

Area depends on the square of the radius, with π linking linear measurements to area. If you double the radius, the area becomes four times as large, showing the r^2 relationship. That makes the correct formula A = π r^2. The other expressions mix linear and area quantities: π r would be a length, 2π r is the circumference, and π d^2 would not match how diameter relates to radius (since d = 2r, that would give πd^2 = 4πr^2, not πr^2).

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