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A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area formed by the watering pattern is 907.46 square​ feet? Use 3.14 for π

Sagot :

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Answer:

The number of feet away from the sprinkler where it could spread water would be the radius of the circle in which it is spraying.

The Area of a circle is

πr2=808.64

(3.14)r2=808.64

Divide both sides by 3.14

r2=257.5286624

Square root both sides to get radius

r=16 feet

7 feet away from the sprinkler can it spread water if the area formed by the watering pattern is 907.46 square​ feet

Area of circle:

What information do we have?

Area of watering pattern = 907.46 square​ feet

Area of watering pattern = Area of circle

Area of watering pattern = πr²

907.46 = (3.14)r²

r² = 289

r = 17

Length = 17 feet

Find out more information about 'Area'.

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