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KRose3311
05.05.2020 •
Mathematics
A sprinkler on a golf course is set to spray water over a distance of 75 feet and rotates through an angle of 135 degrees. Find the area of the fairway watered by the sprinkler
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Ответ:
The area of the fairway watered by the sprinkler is 6,623.44 square feet
The shape of the golf course is a sector, Using the formula for calculating the area of a sector is expressed as:
![A = \frac{\theta}{360} \times \pi r^2](/tpl/images/0635/7577/d477a.png)
r is the radius = 75 feetSubstitute the given parameters into the formula to have:
Hence the area of the fairway watered by the sprinkler is 6,623.44 square feet
Learn more on area of a sector here: link
Ответ:
6623.4375 feet²
Step-by-step explanation:
Distance is the radius
Area:
(135/360) × pi × r²
(135/360) × 3.14 × 75²
6623.4375 feet²
Ответ:
23456789
Step-by-step explanation: