A rotating lawn sprinkler sprays water in a circular area of grass, as shown in the picture. The diameter of the circular area of grass is 14 ft. Which measurement is closest to…

Question

asked Feb 17, 2023 215k views

2 Answers

Mylee · Answer 1 · 2023-02-22T04:21:26+0000

Given:

Diameter of the circular area = 14 ft

Since the area of the grass is circular, to find the area in square feet that this sprinkler sprays with water apply the area of a circle is formula:

$A=\pi r^2$

Where:

$\text{radius, r = }(diameter)/(2)=(14)/(2)=7$

Take π = 3,14

Thus, we have:

$\begin{gathered} A=\pi r^2 \\ \\ A=3.14\ast7^2 \\ \\ A=3.14\ast49 \\ \\ A=153.86\text{ square f}eet \end{gathered}$

Therefore, the area in square feet that this sprinkler sprays with water is 153.86 square feet

ANSWER:

B. 153.86 square feet