Question

estimate the area of this circle.
use the sketch tool if it helps with your thinking.
1 in.
submit and explain

Explanation:

Step1: Determine the radius of the circle

From the grid, the radius \(r = 2\) inches (as each grid square represents 1 inch).

Step2: Use the formula for the area of a circle

The formula for the area of a circle is \(A=\pi r^{2}\). Substitute \(r = 2\) into the formula: \(A=\pi\times(2)^{2}=\pi\times4\). Using an approximation of \(\pi\approx 3.14\), we get \(A\approx3.14\times4 = 12.56\) square inches. Another common approximation is \(\pi\approx3\), then \(A\approx3\times4=12\) square inches.

Answer:

The area of the circle is approximately \(12\) square inches (using \(\pi\approx3\)) or \(12.56\) square inches (using \(\pi\approx3.14\)).