Question

The spray from a sprinkler creates a circle with a radius of 15 feet. Which of the following is the best approximation of how many square feet of grass the sprinkler covers?
47
94
225
707

Answer 1

Option 4 - 707

Step-by-step explanation:

Step 1:

Given that the spray from a sprinkler creates a circle with a radius of 15 feet.

We need to determine  how many square feet of grass the sprinkler covers. To find this we need to find the circle's area that the sprinkler covers.

Hence we need to determine the circle's area  having radius 15 feet

Step 2 :

We have the area of  circle having radius r as pi * r ^2

So when r = 15, the area is

(22/7) * 15* 15 (where pi = 22/7)

= 707.14

Hence the area which is covered with  the spray from the sprinkler is approximately 707 feet.

Option 4 is the answer

Answer 2

Answer:

The answer is 94.

Step-by-step explanation:

1. The first thing you have to do is pi (which is 3.14) x 2, which equals to 6.28.

2. Then, you must multiply 6.28 from the last step x 15 ft. which gives you the answer 94 ft.

So basically, throughout both of those steps I was using the formula of circumference (the enclosing boundary of a curved geometric figure, especially a circle) which is 2 pi r, which translates to 2 x 3.14 x radius. And like it says in the question, the radius is 15.

So, 2 x 3.14 is 6.28, then just multiply 6.28 by the radius (which is 15) and you get the second choice option, which is 94. I really hope this helped :)

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