Question

1. use the diagram below to answer the following question.

a sprinkler is at the center of a lawn. the sprinkler waters the area inside the circle. how many square units will be watered? (use 3.14 for $\pi$.)
a. 25.12 b. 50.24 c. 100.48 d. 200.96

Explanation:

Step1: Determine the radius

From the diagram, we can see that the radius \( r \) of the circle (the distance from the sprinkler to the edge of the watered area) is 4 units (by counting the grid squares from the center to the edge).

Step2: Use the area formula for a circle

The formula for the area of a circle is \( A=\pi r^{2} \). We are given \( \pi = 3.14 \) and \( r = 4 \). Substitute these values into the formula:
\( A=3.14\times4^{2} \)
First, calculate \( 4^{2}=16 \). Then, \( 3.14\times16 = 50.24 \).

Answer:

B. 50.24