A trampoline gas an area of 49 • pi square feet. What is the diameter if the trampoline?

Answers

Answer 1

Answer: So,
if the area is 49pi, and the formula for the area of a circle is radius squared times pi,

The square root of 49 is 7.
The radius is 7.
To find the diameter, you multiply the radius by 2 because the radius is half of the diameter.
7x2=14
The diameter is 14 square feet.
Hope I helped!

Answer 2

Answer: $area (S)= \pi r^2$
so
$49 \pi= \pi r^2$
so r^2=49 then r=7
diameter is 2*r=2*7=14

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How do I do this??? It's for my algebra test on Wednesday.

Answers

Hold up. Hee haw. Whoa!
Your first instinct was to multiply it out and get rid of the parentheses.
That's often a good instinct, but this time, it made things harder for you.

This is a good example of a rule you should consider:

   Before you do anything to anything, sit back, relax,
   LOOK at the problem, THINK about it, and plan your
   strategy. Decide what the solution might look like,
   and what you're going to do to the given information
   in order to move towards the solution.

You might look at this particular equation and ponder:

-- If I multiplied this thing out and got rid of the parentheses, it would
have x³ in it. So there are going to be 3 solutions.

-- If either factor is zero, then the equation is true.

-- One of the factors is 6x. Setting that to zero gives one solution: x=0.

-- The other two solutions come from setting (4x² - 4) = 0 .

-- That's the difference of 2 squares, so it's (2x + 2) (2x - 2) = 0

-- The other 2 solutions come from setting each of those factors to zero.

There you are. You got this far just by thinking, without even picking up
your pencil yet.

6x( 4x^2 -4) = 0
then 6x = 0 --- eqn.1
or (4x^2-4) = 0 --- eqn.2
from eqn.1 we get that x=0
from eqn.2 we get:
4x^2=4
x^2=1
x^2 - 1 =0
(x-1) * (x+1) = 0
so x = +1 and -1
the final answer is x= 0, -1 , 1

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