Math, asked by viovelo, 11 months ago

a sprinkler that sprays water in a circular area can be adjusted to spray up to 30 feet. To the nearest tenth, what is the maximum area of lawn that can be watered by the sprinkler?

Answers

Answered by yash168966
1

Answer:

Answer: 1590.4 square feet

Step-by-step explanation:

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Paris020605

Paris020605

Asked 04.01.2019

A sprinkler that sprays water in a circular area can be adjusted to spray up to 30 feet. turning the radius-reduction screw on the top of the nozzle lets people the radius by up to 25 percent. to the nearest tenth, what is the maximum area of lawn that can be watered by the sprinkler if the radius-reduction is used at full capacity.

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JeanaShupp

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kvargli6h

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Answer: 1590.4 square feet

Step-by-step explanation:

Given: The radius of the circular area = 30 feet

Now, 25% of the radius = 0.25\times30=7.5 feet

If the we reduce the radius by 25%, then the radius of the circular area =

30-7.5=22.5\text{ feet}

Now, the circular area of the spray is given by :-

\text{Area}=\pi r^2\\\\\Rightarrow\text{ Area}=(3.143.141592653)(22.5)^2\\\\\Rightarrow\text{ Area}=1590.43128088\approx1590.4\text{ ft}^2

Therefore, the maximum area of lawn that can be watered by the sprinkler if the radius-reduction is used at full capacity = 1590.4 square feet.

Answered by sharonr
0

The maximum area of lawn that can be watered by the sprinkler is 2826 sq feet

Solution:

Given that,

A sprinkler that sprays water in a circular area can be adjusted to spray up to 30 feet

Therefore,

radius = 30 feet

The area of circle is given as:

Area = \pi r^2\\\\Area = 3.14 \times 30^2\\\\Area = 3.14 \times 900\\\\Area = 2826

Thus, maximum area of lawn that can be watered by the sprinkler is 2826 sq feet

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