solving shape area formulas

Area is nothing but a region bounded by a closed curve. Area is a quantity which expresses the 2D size of a defined part of a surface. In terms of differential geometry of surfaces, area is an important variant. In this article solving shape area formulas, we are going to discuss about solving the basic shape area formulas.


Solving shape area formulas types:


Area of a Rectangle.

The Formula for Area of a Rectangle is given below:

     Rectangle shape Area = Length x Breadth   ( A = LB )

Area of a triangle.

The formula for the area of a triangle is given below :

         Triangle shape Area = ½ x Base x Height

                                    A = ½ BH

Area of a Trapezium.

A Trapezium is closed shape which has  two sides that are parallel and two sides that are not parallel.

Now we are going to find a formula for the area of the trapezium.

    Trapezium shape Area = A1 + ( A2 + A3 )

                              Area =  b x h + ½ x (a - b) x h

                               Area = bh + ½ h(a - b)

                               Area = bh + ½ ah – ½ bh

                               Area = ½ ah + ½ bh

                               Area = ½ h ( a + b )

The Area of a Circle.

The area of a circle with the radius r is given by the formula                

                              Area = `pi` r2.


Examples for solving shape area formulas:


Example 1:

Find the area of a triangle with the base length of 20 mm and a height of 6 mm.

Solution:

               Area of a triangle =  ½ b h

                                        =  ½ (20) (6)

                                        =  60 mm2  

Example 2:

Find the area of rectangle given the length is 10 cm and width is 7 cm.

Solution:  

         Area of a Rectangle  =  l * w

                                       = 10 * 7

                                       = 70 cm2

Example 3:

Find the area of a circle given the radius is 44 inches

Solution:

                 Area of  Circle = `pi` r2

                                      =  3.14 (44)2

                                      =  3.14 (1936)

                                      =  6079.04 in2