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 452.16 square feet? Use 3.14 for pi .

number of feet away from the sprinkler = 12 ft

Step-by-step explanation:

The number of feet away which the sprinkler is spreading water is the radius of the circle formed.

area of a circle = πr²

where

r = radius

area of the circle formed = 452.16 ft²

area of a circle = πr²

area of a circle = 3.14 × r²

452.16 = 3.14r²

divide both sides by 3.14

r² = 452.16/3.14

r² = 144

square root both sides

r = √144

r = 12 ft

number of feet away from the sprinkler = 12 ft

78.59 is the mean

step-by-step explanation:

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.