When a pebble is thrown into a pond, the circle formed by the pebble hitting the water expands with time. The area of the expanding circle may be found by the formula A=π r². The radius,r in feet, of a circle is a function of time, t seconds. Suppose that the function is r(t) = 2t. Find the area of the circle at 2 seconds.

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27-06-2024
Mathematics

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When a pebble is thrown into a pond, the circle formed by the pebble hitting the water expands with time. The area of the expanding circle may be found by the formula A=π r². The radius,r in feet, of a circle is a function of time, t seconds. Suppose that the function is r(t) = 2t. Find the area of the circle at 2 seconds.

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