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Marta_Voda [28]
3 years ago
9

A water and sprinkle our sins water out in a circular pattern how many feet away can it spread water if the area formed by the w

atering pattern is 379.94 square feet use 3.14
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
8 0

Answer:

11  feet away.

Step-by-step explanation:

Given:

A water and sprinkle our sins water out in a circular pattern

Area formed by the watering pattern is 379.94 square feet

To find:

How many feet away can it spread water means we have to find distance from the middle point to the last end of circular pattern of water sprinkling (radius of a circle) = ?

solution:

By using ,Area of a circle = \pi r^{2}

Area of a circle = 379.94 square feet  (given)

\pi r^{2} = 379.94

3.14\times r^{2}  = 379.94\\

Dividing both side by 3.14

r^{2}  = \frac{379.94}{3.14}  = 121

Taking square root both side

r = \sqrt[2]{11\times11}        (Taking common)

r = 11

Therefore, radius = 11

Thus,  it can  spread water 11  feet away.

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
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<u>Algebra II</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

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Point (-1, 4.5)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

  1. Substitute in points [Distance Formula]:                                                         \displaystyle d = \sqrt{(-1--1)^2+(4.5--3.75)^2}
  2. [√Radical] (Parenthesis) Subtract:                                                                   \displaystyle d = \sqrt{(0)^2+(8.25)^2}
  3. [√Radical] Evaluate exponents:                                                                       \displaystyle d = \sqrt{0+68.0625}
  4. [√Radical] Add:                                                                                                 \displaystyle d = \sqrt{68.0625}
  5. [√Radical] Evaluate:                                                                                          \displaystyle d = 8.25
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