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Chapter 6: Q. 95 (page 366)

A water sprinkler sprays water over a distance of 30feet while rotating through an angle of135鈭�

Short Answer

Expert verified

The area of the lawn that receives the water from the sprinkler is1060.29ft2

Step by step solution

01

Step 1. Given information

water sprinkler sprays water over a distance of 30feet while rotating through an angle of 135鈭�

02

Step 2. Used formulae

The area of a circle with radius r and angle胃isA=12r2胃

03

Step 3. Calculation

135鈭�=135路蟺180=3蟺4

For the given problem, we substitute and the area is obtained as

A=12路(30)2路3蟺4=90蟺鈮�1060.29ft2

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