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Nady [450]
3 years ago
6

A 360 degree rotating sprinkler that sprays water at a radius of 11 feet is used to water a lawn. What is the Area of the lawn t

hat is watered by this sprinkler ?
Mathematics
1 answer:
denpristay [2]3 years ago
5 0

Answer:

Area=121\pi ft^2 in terms of \pi.

Step-by-step explanation:

A 360 degree rotating sprinkler will water a full circular region of the lawn.

The area of this circular region is calculated using the formula:

Area=\pi r^2

where r=11 feet is the radius of the circular region covered.

We substitute the value of the radius into the formula to get:

Area=\pi \times 11^2

Area=121\pi ft^2 in terms of \pi.

This is approximately 380.1 ft^2 to the nearest tenth

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The triangles PTQ and RTS are similar; so the ratios of corresponding sides are equal.

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