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I have coordinates of 3d triangle and I need to calculate its area. I know how to do it in 2D, but don't know how to calculate area in 3d. I have developed data as follows. (119.91227722167969, 122.
Hence we can find area of between chord AB and BC by multiplying the area of a circle with 1/6 i.e.πr^2/6 (because 60 degree/360 degree=1/6) We can subtract the area of triangle ( √3/4 * side^2) from it to find the area of the curved part. In all there are four such congruent parts.
could anyone explain how to calculate the surface area of a curved plane? I am trying to calculate the surface area of a "vaulted" ceiling that is 24' long, 7' wide, and the height of the curve is 4' at the mid-point so that I can figure out how much paint I need to buy.
I have a rectangle with a known area and a known ratio of length: width l e n g t h: w i d t h. How do I calculate the length and width. Area: 1500 1500 sq ft Ratio: 241 625 = 0.386 241 625 = 0.386 How do I calculate the length and width in feet.
In other words, the projection of a sphere onto its containing cylinder is area preserving. I think that Archimedes did something similar. Note that we can approximate the surface area by fitting a series cones over the sphere. These cone segments are called frustums, and are used to find the area of almost any surface of revolution.
Is it possible to find the area of a free form shape knowing the perimeter? An example would be a clover leaf shape. If the perimeter is 96 how would I know what the area would be?
Count the squares like graph paper. Estimate any partial squares. Again, you should be pretty close. in my estimation i broke it off into two rectangles, one big and one small, then divided that by 2, giving me the area of a triangle for the both shapes. adding the area of the two shapes then gave me the total area.
As far as the bounding curves can be easily expressed either as y = f(x) or x = f(y), there are more options to calculate the area. For example, we can recognize that while y changes its values from 2 to 3, for every value of y, x changes accordingly from 3 − y to 1 4y2.
There are 2 potential questions here. One is the question of why the definite Riemann integral gives the correct notion of "area under a curve" for a (nonnegative, Riemann integrable) function. The other, which seems to be what you're really asking, is the question of why an antiderivative evaluated at the endpoints of an interval and subtracted yields that definite integral. The latter ...
When do you think the area of a country or state was first calculated? Was it before satellites provided us accurate picture of the earth? Note: I am not asking about surface area of a country. They are assumed as flat while calculating the area.