Answer: [tex]38.465\text{ ft}^2[/tex]
Step-by-step explanation:
Given: A fire sprinkler sprays water over the area of a circle with a diameter measuring 7 feet.
Then the radius of the circle : [tex]\dfrac{d}{2}=\dfrac{7}{2}=3.5\ feet[/tex]
The area of a circle is given by ;-
[tex]\text{Area of circle}=\pi r^2[/tex], where r is the radius of the circle.
[tex]\text{Area of circle}=(3.14) (3.5)^2=38.465\text{ ft}^2[/tex]
Hence, the fire sprinkler covers [tex]38.465\text{ ft}^2[/tex] of the area.
