Question

the function ( a(r)=3.14 r^{2} ) can represent the area of a circle, ( a ), as a function of the radius of the circle, ( r ). given that the radius of the circle is 10 yards, find the area of the circle.

Explanation:

Step1: Substitute the value of radius into the function

Given \( A(r) = 3.14r^{2}\) and \(r = 10\). Substitute \(r = 10\) into the function: \(A(10)=3.14\times(10)^{2}\).

Step2: Calculate the square of the radius

\((10)^{2}=10\times10 = 100\). So the function becomes \(A(10)=3.14\times100\).

Step3: Perform the multiplication

\(3.14\times100=314\).

Answer:

314 square yards