Question

write a quadratic function for the area of the figure. then, find the area for the given value of x.

a quadratic function for the area of the figure is ( a(x)=square ). (simplify your answer.)

the area of the figure for ( x = 20 ) is ( square ) units. (simplify your answer. type an integer

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Explanation:

Step1: Write the formula for the area of a circle

The area formula for a circle is \(A(x)=\pi r^{2}\), where \(r\) is the radius. Here, the radius \(r = x\), so \(A(x)=\pi x^{2}\).

Step2: Substitute \(x = 20\) into the formula

When \(x = 20\), we have \(A(20)=\pi\times(20)^{2}\).

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Answer:

The quadratic function for the area is \(A(x)=\pi x^{2}\), and when \(x = 20\), the area is \(1256\) square units.