Area and Distance Calculator

Area is a number expressing the 2D size of a defined part of a surface, usually a region enclosed by a closed curve. Distance between (x1, y1) and (x2, y2) two points are called as distance.

Area of square = `a^2 `

Distance between two points = `sqrt[(x_2 - x_1)^2 + (y_2 - y_1)^2]`

The area and distance calculator example problems and practice problems are given below.


Example Problems for Area and Distance Calculator:

Example problem 1:

Find the area of the square, whose side edge is  12.5meters

Solution:

Given:

Side (a) = 12.5 m

Area of square calculator is given below.



Area of square = a2

= 12.5 * 12.5

After simplify this, we get

Area of square = 156.25 square units

Example problem 2:

Find the area of the square, whose side length is 23.4 meters

Solution:

Given:

Side (a) = 23.4 m

Area of square calculator is given below:



Area of square = a2

= 23.4 * 23.4

After simplify this, we get

Area of square = 547.56 square units

Example problem 3:

Find the distance between two points A (4, 1) and B (6, 5)

Solution:

Distance between two points calculator is given below.



The distance between two points are (x1, y1) and (x2, y2)

Here, x1 = 4, x2 = 6, y1 = 1, y2 = 5

By using the following formula

Distance formula = `sqrt[(x_2 - x_1)^2 + (y_2 - y_1)^2]`

= `sqrt[(6 - 4)^2 + (5 - 1)^2]`

= `sqrt[(2)^2 + (4)^2]`

= `sqrt(4 + 16)`

After simplify this, we get

Distance = `sqrt(20) `

So, the distance between two points A (4, 1) and B (6, 5) is `sqrt(20)`

The above examples are helpful to study of area and distance calculator.


Practice Problems for Area and Distance Calculator:

Practice problem 1:

Find the area of the square, whose side length is 34.5 meters

Answer: Area of square =1190.25

Practice problem 2:

Find the distance between two points A (0.7, 22) and B (0.2, 1.8)

Answer: Distance between two points = `sqrt(408.28)`