Question

write a quadratic function for the area of the figure then, find the area for the given value of x
x = 20
a quadratic function for the area of the figure is ( a(x)=pi x^{2} ) (simplify your answer)

Explanation:

Step1: Substitute \(x = 20\) into the function

Given \(A(x)=\pi x^{2}\), substitute \(x = 20\).
\(A(20)=\pi\times(20)^{2}\)

Step2: Calculate the value

First, calculate \((20)^{2}=400\). Then \(A(20)=\pi\times400 = 400\pi\approx400\times3.14 = 1256\)

Answer:

The area when \(x = 20\) is \(1256\)