A restaurant decreases the dimensions of the cup for their large-size drink. The new dimensions of the cup are shown in the diagram below.

Which expression represents the area, in square centimeters, of the new cup opening? Use A= pi r^2

A = πx² - 2πx + π

Step-by-step explanation:

The area of a circle is computed as follows:

A = π r²

where r is the radius of the circle. From the picture:

r = x - 1

Replacing into the equation:

A = π (x - 1)²

Applying the square of a binomial:

A = π (x² - 2x + 1)

Applying distributive property:

A = πx² - 2πx + π

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