Area List

Ahaha… I’m really not good at geometry. I get basic stuff, but I really don’t get this once The full problem is "Prove that the area of a circle circumscribed about a square is twice the area of the circle inscribed within the square"

Let s = the length of the side of a square.
Then the area of a circle inscribed in the square = (pi s^2)/4; in this case s is the diameter of the circle.

The diagonal of the square is s sqrt(2)

A circle circumscribed about the square would have this diagonal as its diameter.

Its area would be [pi (s sqrt(2))^2]/4 = [pi x 2s^2]/4

This will be a lot easier to understand if you copy it out in standard math notation; wish we could use equation editor on here)

Good luck!

Here’s the formula (referring to the verticies of a triangle in a coordinate plane):
+/- 0.5 times the determinant of:
[X1 Y1 1]
[X2 Y2 1]
[X3 Y3 1]

why does it work?

It stems from the property that the area of a parallelogram with two vectors as adjacent sides is equal to the determinant of a matrix with those vectors as rows. For instance, suppose you have a parallelogram with one edge <1,1> and the adjacent edge <0,1>. If you form the matrix ‘A’
[ 1 1]
[ 0 1]

and compute the determinant, you get det(A) = 1, which is the area of the parallelogram. If now you only want the area of the triangle with sides <1,1> and <0,1>, you divide by 2. Or 1/2*det(A) = area of triangle.

IF you now draw any triangle with three vertices, and draw vectors from the origin to each vertex, you’ll see that each pair of vectors forms a triangle. Summing the area of these individual triangles (and recognizing that the order of one pair might make "negative area") gives the area enclosed by the three vertices, when divided by 2.

The matrix you show is a simple way to combine the three separate determinants into one.

A triangle has a perimeter of 105 inches. The lengths of the sides of the triangle are consecutive odd integers. Find the length of the sides and then use Heron’s Formula to find the area of a triangle.

find the length of each side
let the consecutive odd numbers be a=x ,b= x+2, c=x+4
formula for a perimeter {a+b+c=105}

x + (x+2) + (x+4) = 105
x+x+x=99
3x=99
x=33

therefore length of each side is
a=33, b=35, c=37

then just plug this into the herrons formula’s

step one:
find half the parimeter (set as variable H impling half perimeter)

step two use:
Find area,
area = squareroot (H (H-a) (H-b) (H-c))

just plug in the numbers and u got the answer…. not doing the calculation cuz the best way to understand math is by doing it urself even if u hate it.

Find x, such that the triangle has an area of 4.

(-5, 1), (0, 2), (-2, x)

Can someone please help me solve for x using a graphing calculator?
Thanks!

I hope you’ll understand what i’m going` to write (i’m from Romania, in the last year of high school)
First of all, I would note the determinant of the matrix with D and the area with A , to simplify our work.
The formula of the area is : A=1/2 * | D |
the determinant looks like that :
-5 1 1
0 2 1
-2 x 1
now, we’ll solve the determinant with the triangle’s formula =>
D= -10 + 0 -2 + 4 + 5x + 0 = -12 + 4 + 5x = 5x – 8
We know that A = 4 => 1/2 * | D | = 4 => | D | = 8 => 5x – 8 = 8 =>
x = 16/5
hope it will help you in some way

What is the area formula for a circle

A= pi* r^2
The area is equal to pi times the radius squared. If you do not have the radius, use the diameter. The radius is equal to the diameter divided by 2.

I saw in a previous poll a few nights ago that many of you are students, so I was just curious.

I used to be a Political Science major

Then I switched to History

>> I kind of miss being a political junkie because it always shocked people. I remember guys liking that I could talk politics and I even helped on the Obama campaign and I met him once & the Congresslady representing my district in Washington! Now I don’t pay attention to any of that stuff. lol.

I have a res and I’m looking to get a Mississippi map since I’ve talked to a number of people who have had a lot of success keeping the two species together. Does anyone know where to get maps in tge LA area?

I am the good shepherd. A good shepherd lays down his life for the sheep.
A hired man, who is not a shepherd and whose sheep are not his own, sees a wolf coming and leaves the sheep and runs away, and the wolf catches and scatters them.
This is because he works for pay and has no concern for the sheep.
I am the good shepherd, and I know mine and mine know me,
just as the Father knows me and I know the Father; and I will lay down my life for the sheep.
I have other sheep that do not belong to this fold. These also I must lead, and they will hear my voice, and there will be one flock, one shepherd.

We are a group of late 20-somethings and we dont want a place with a curfew or kids running around and people telling us to be quiet! Any good ones in the North Conway, White Mountain NH area? Thanks!

This time of the year you will not find a privately-owned campground anywhere that does not cater for family camping.

Even the state forest camping areas will have kids everywhere!

But do check out this site, maybe give one or two of them a call and ask.
Another owner will be your best source of information:
http://www.ucampnh.com/dir-wm.asp

The radius of a circle I is one half the radius of circle ll. What is the ratio of the area of circle l to the area of circle ll?

Let’s say circle I has radius of 1 and circle II has a radius of 2. Find the areas:
circle I = π * 1² = π * 1 = π
circle II = π * 2² = π * 4 = 4π

find the ratio between the areas
π / 4π

1/4 or 1:4

On Google Maps, when you press the button to see the area on street view, does it show what is on the stret at the very moment, or is it what was on the street at some other time?

My question basicly is does the images change every second or do they change hourly etc.?

The pictures are taken once.

A car with 8 cameras in a circle on top of a pole drives up and down every street possible and the cameras take a circular picture every few feet. Each picture is saved with it’s location.

http://images.google.com/images?q=street+view+car&ie=utf-8&oe=UTF-8&rls=org.mozilla:en-US:official&client=firefox-a&um=1&sa=N&tab=wi&oi=property_suggestions&resnum=0&ct=property-revision&cd=1

There’s pictures of some of the cars.