Question

(15) find the area of the circle. round your answer to the nearest tenth.

Explanation:

Step1: Determine the radius of the circle

From the graph, the radius \( r = 4\) (assuming each grid unit is \(1\), as the center is at \((5,0)\) and the circle extends to \(x = 9\) or \(x=1\) in the horizontal direction, so \(r=9 - 5=4\)).

Step2: Use the formula for the area of a circle

The formula for the area of a circle is \(A=\pi r^{2}\). Substitute \(r = 4\) into the formula: \(A=\pi\times4^{2}=\pi\times16\).
Using \(\pi\approx3.14\), we get \(A = 3.14\times16=50.24\).

Step3: Round to the nearest tenth

Rounding \(50.24\) to the nearest tenth. The digit in the hundredth place is \(4\), so we keep the digit in the tenth place as it is.

Answer:

\(50.2\)