Question

emily has a sprinkler than covers a circular area with diameter 14 feet. what is the area of lawn that the sprinkler covers? (use 3.14 for π) square feet

Explanation:

Step1: Find the radius

The radius \(r\) of a circle is half of the diameter \(d\). Given \(d = 14\) feet, so \(r=\frac{d}{2}=\frac{14}{2}=7\) feet.

Step2: Calculate the area

The formula for the area \(A\) of a circle is \(A=\pi r^{2}\). Substitute \(r = 7\) and \(\pi=3.14\) into the formula: \(A = 3.14\times7^{2}\). First, calculate \(7^{2}=49\), then \(A=3.14\times49 = 153.86\).

Answer:

\(153.86\)