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Due to a lightening strike, a forest fire begins to burn and is spreading outward in a shape that is roughly circular. The radius of the circle is modeled by the function r(t) = 3t, where t is the time in minutes and r is measured in meters.
-Find the area of the circular burn after 50 minutes.

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Quizplus · Accepted Answer

The area of a circle can be calculated using the formula A=πr^2. 
Substituting r(t) = 3t into this formula, we get A(t) = π(3t)^2 = 9πt^2. 
To find the area after 50 minutes, we substitute t=50 into the formula to get A(50) = 9π(50)^2 = 22,500π square meters. Therefore, the answer is choice D.

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