The best answer is 15/8 and it could be simplified I think
Draw or sketch out any problems like this, otherwise they appear abstract.
A circle’s area can be calculated by (pi d^2)/4 We have an area of 56 cm (^2?), so
pi d^2 = 56 x 4 (or 224) d^2 = 224/pi, d = √(224/pi)
A circle circumscribed around a square has a diameter equivalent to the length of the square’s diagonal, so the square’s diagonal is √(224/pi) (same as the circle diameter…)
A square’s side can be calculated, knowing its diagonal length, by use of Pythagoras’ theorem… The diagonal √(224/pi) is squared, divided by two, since the square’s sides are all equal, and the resulting number’s square root is calculated.
Squaring √(224/pi), we get 224/pi, and dividing by two, we get 112/pi, which is 35.6507 (cm^2), and the square root is 5.9708 cm, the side of the square.
I cannot emphasize enough that a drawing or sketch is an invaluable tool for these tasks, it saves having to retain a “picture” in your head. Note that a calculator was not required up until the last moment, dividing 112 by pi, and finding the square root of that answer. Picking up the calculator too early obliges you to transcribe numbers from the calculator to paper, and that can lead to issues. Try to enjoy maths, see it as a challenge not a chore. (and use correct units!)
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Related Questions (More Answers Below)
Answer:
<h3>The answer is 134.29 m</h3>
Step-by-step explanation:
First of all we need to convert 14.0 acres to m²
1.00 acre = 4046.86 m²
14.0 acres = 14 × 4046.86 = 56656.04 m²
Area of a circle = πr²
where
r is the radius
To find the radius substitute the value for the area into the above formula and solve for the radius
That's
Divide both sides by π
We have
Find the square root of both sides
r = 134.29139
r = 134.29 m to 2 decimal places
Hope this helps you
Answer:
a=d-c/b
Subtract c from both sides
a=d-c/b
divide both sides by b
7699......................
