Sometimes we may need to know the area of a land or plot for various reasons, we will explain how to calculate the land or the surface of a land.
Area Formula For Different Shapes:
But for complex shaped land you cannot easily calculate the area. In that case, we use HERON’s Formula which is given below:
Where S = Perimeter of the triangle
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S = (a + b + c)/2
a = Distance of AB -b = Distance of BC -c = Distance of AC
Let’s take an example,
First of all, divide the land area into minimum possible no. of triangle. Then measure all the required distance (like AB, AC, AE etc) by using a tape or chain.
1. FOR △ ACD:
AC = 10 feet.
CD = 12 feet.
AD = 14 feet.
S = (a + b + c)/2 = (10 + 12 + 14)/2 = 18 feet.
2. FOR △AED:
AD = 14 feet. -AE = 14feet. -DE = 12 feet.
S = (a + b + c)/2 = (14+14+12)/2 = 20 feet.
3. FOR △AEB:
AB = 16 feet.
BE = 12 feet. – AE = 12 feet.
S = (a + b + c)/2 = (16 + 12 + 12)/2 = 20 feet.
Total Area Of Land = 58.78 + 75.89 + 71.55 = 206.22 ft²
NOTE: This method does not give appropriate result for curve shaped area, for curve shaped area we need to use difinite integral method.
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