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 1,808.64 square feet? Use 3.14 for pi.

The sprinkler can spread water in a radius of 24 feet.

Step-by-step explanation:

Since the sprinkler sends water in a circular pattern in order to find the distance at which it can spread the water we need to find the radius of the circle. The area of the circle is said to be 1808.64 and it's formula is given by:

area = pi*r²

1808.64 = 3.14*r²

r² = 1808.64/3.14 = 576

r = sqrt(576) = 24 feet

The sprinkler can spread water in a radius of 24 feet.

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.