If the three-dimensional figure is bounded by polygons, you calculate the area of each polygon, and add it all up. If the three-dimensional figure is bounded by some curve (as in a sphere), you basically need integral calculus. The basic idea is to divide the surface into small pieces, assume that each piece is approximately equal to a rectangle, triangle, or another convenient (and well-known) 2D figure, and add the surface areas up. Also, you analyze what happens when the individual pieces are made smaller and smaller. Integral calculus has some special methods to speed this task up, but that is the basic idea.
If the three-dimensional figure is bounded by polygons, you calculate the area of each polygon, and add it all up. If the three-dimensional figure is bounded by some curve (as in a sphere), you basically need integral calculus. The basic idea is to divide the surface into small pieces, assume that each piece is approximately equal to a rectangle, triangle, or another convenient (and well-known) 2D figure, and add the surface areas up. Also, you analyze what happens when the individual pieces are made smaller and smaller. Integral calculus has some special methods to speed this task up, but that is the basic idea.
If the three-dimensional figure is bounded by polygons, you calculate the area of each polygon, and add it all up. If the three-dimensional figure is bounded by some curve (as in a sphere), you basically need integral calculus. The basic idea is to divide the surface into small pieces, assume that each piece is approximately equal to a rectangle, triangle, or another convenient (and well-known) 2D figure, and add the surface areas up. Also, you analyze what happens when the individual pieces are made smaller and smaller. Integral calculus has some special methods to speed this task up, but that is the basic idea.
If the three-dimensional figure is bounded by polygons, you calculate the area of each polygon, and add it all up. If the three-dimensional figure is bounded by some curve (as in a sphere), you basically need integral calculus. The basic idea is to divide the surface into small pieces, assume that each piece is approximately equal to a rectangle, triangle, or another convenient (and well-known) 2D figure, and add the surface areas up. Also, you analyze what happens when the individual pieces are made smaller and smaller. Integral calculus has some special methods to speed this task up, but that is the basic idea.
If the three-dimensional figure is bounded by polygons, you calculate the area of each polygon, and add it all up. If the three-dimensional figure is bounded by some curve (as in a sphere), you basically need integral calculus. The basic idea is to divide the surface into small pieces, assume that each piece is approximately equal to a rectangle, triangle, or another convenient (and well-known) 2D figure, and add the surface areas up. Also, you analyze what happens when the individual pieces are made smaller and smaller. Integral calculus has some special methods to speed this task up, but that is the basic idea.
The surface area of the 3-D figure will be the total of the areas of the 2-D figures.
A binomial is an algebraic expression. It does not have an area.
by subtracting
Different figures have different formulae; here you will find formulae for the areas of some figures: http://en.wikipedia.org/wiki/Area#Formulae
the area and perimeter of the plane figures are square ,rectangle
You don't. You can find the area of geometric figures, not of numbers.
A sphere.
Different figures have different rules to determine the area of it.
Not easily. You need to find the area or perimeter of the components and sum them.
The surface area of the 3-D figure will be the total of the areas of the 2-D figures.
A binomial is an algebraic expression. It does not have an area.
by subtracting
Different figures have different formulae; here you will find formulae for the areas of some figures: http://en.wikipedia.org/wiki/Area#Formulae
Once you know the coordinates, you can use the distance formula to find the lengths of the sides, then using that, you can find the area.
You get the area by using formulas. There is usually a specific formula to find the area of each shape. Some irregular shaps may not have a formula.
Try to decompose the figure into simple figures, for which formulae are known - such as triangles, rectangles, circular segments, etc.
To find the area, first divide the shape into regular, simple shapes. Then use formulas to find the area of the smaller, regular shapes. Lastly, add up all the smaller areas to find the area of the original shape.