Question

A fire sprinkler sprays water over the area of a circle with a diameter measuring 7 feet About how many square feet does the fire sprinkler cover?

Answer 1

Answer: $38.465\text{ ft}^2$

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 : $\dfrac{d}{2}=\dfrac{7}{2}=3.5\ feet$

The area of a circle is given by ;-

$\text{Area of circle}=\pi r^2$, where r is the radius of the circle.

$\text{Area of circle}=(3.14) (3.5)^2=38.465\text{ ft}^2$

Hence, the fire sprinkler covers $38.465\text{ ft}^2$ of the area.

Answer 2

Answer:

38.5 ft²  

Step-by-step explanation:

The formula for the area of a circle is

A = πr²

Data:

D = 7 ft

Calculations:

r = D/2

r = 7/2

r = 3.5 ft

A = π(3.5)²

A = 12.25π

A ≈ 38.5 ft²