Don decided to do some landscaping in his backyard. He began by watering the lawn. The rotating sprinkler that he installed can spray an area with a radius of 7 feet.
What is the maximum area the sprinkler can cover?
a. 21.98 ft(2)
b. 28.26 ft(2)
c. 43.96 ft(2)
d. 153.86 ft(2)
I've been trying to figure it out but I have no clue how to solve this question, can anyone help me for that? Thanks!
http://www.mathgoodies.com/lessons/vol2/circle_area.html
So ... multiply pi by the square of the radius to get the area. Use 3.14 for pi.
(7 x 7) x 3.14 = the area of this circle that the sprinkler can cover.
awesome!!! Thank you.
You're very welcome!
To find the maximum area that the sprinkler can cover, we need to calculate the area of the circular region with a radius of 7 feet.
The formula for the area of a circle is A = πr^2, where A represents the area and r represents the radius.
Substituting the value of the radius (7 feet) into the formula, we get:
A = π(7^2)
A = 49π
To determine the approximate value of the area, we can use the approximation π ≈ 3.14.
So, the approximate area is:
A ≈ 49 * 3.14
A ≈ 153.86 ft^2
Therefore, the maximum area the sprinkler can cover is approximately 153.86 ft^2.
Therefore, the correct answer is:
d. 153.86 ft^2