Question

An engineer discovers an oil spill from a tank. Seeing that the spill has a circular shape,

she measures the diameter of the spill and finds that it is 10 m. She determines that
the diameter is growing at a constant rate of 0.5 m/min.
Write a function A(d) that represents the area of the spill.

Answer 1

The area of a circle can be calculated using the formula A = πr^2, where A represents the area and r represents the radius.

In this case, the engineer measured the diameter (d) of the spill, and we can find the radius (r) by dividing the diameter by 2.

Therefore, the function A(d) representing the area of the spill can be written as:

A(d) = π * (d/2)^2

Simplifying further:

A(d) = π * (d^2/4)

Thus, the function A(d) represents the area of the spill given the diameter (d) in meters.

Nice