Solve Online Area Math Problems

Introduction :

Here we are going to see the article as solve online area math problems; generally Area is a quantity expressing the two-dimensional size of a defined part of a surface, typically a region bounded by a closed curve. The surface area of a 3-dimensional solid is the total area of the exposed surface, such as the sum of the areas of the exposed sides of a polyhedron. Area is an important invariant in the differential geometry of surfaces.

(Source: Wikipedia)

I like to share this Area of a Triangle Using Trig with you all through my article.

Example 1- solve online area math problems:


Suppose the sides of the triangle are given as 6cm, 8cm and the angle of the triangle is 30 degree find the area of the triangle?

Solution:

Here the sides of the triangle is given as 6cm, 8cm and the angle of the triangle is 30 degree

If the sides of the triangles are given means we use the below formula to find the area of the triangle

`(1/2)xxaxxbxxsinc`

Now we plug the a, b and angle in the above equation

So the area of the triangle is `((1/2) xx6xx8xxsin30)`

We know that sin 30 =`1/2`

Area of the triangle is` (1/2) xx48xx1/2`

`1/4xx48=48/4=12`

So the area of the triangle is 12cm^2

Example 2- solves online area math problems:

If the length of the parallelogram is 8cm and width of the triangle is 13cm find the area of the parallelogram?

Solution:

Area of the parallelogram =`("length") xx ("width")`

Here the length of the parallelogram is 8cm and width of the parallelogram is 13cm

Area of the parallelogram is `8xx13=104cm` 2


Example 3- solves online area math problems:


If the diagonals of the rhombus are 18cm and 14cm find the area of the rhombus?

Solution:

The diagonal of the rhombus is 18cm and 14cm.

We know that the area of the rhombus is` (1/2)xxaxxb,` here a, b are the diagonals value

Area of the rhombus is` ((1/2) xx18xx14) = (252/2)`

So the area of the rhombus is 126.

Example 4- solves online area math problems:

Calculate the area of the circle whose radius is 9cm?

Solution:

We know that the area formula for the ellipse is `pi` r^2

Here the value of pi is 3.14 and r=9cm

We plug these values in the above formula means we get the area of the circle

`3.14xx9xx9=3.14xx81=254.34cm^2