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Question
Describe the graphical method to find the area of an irregularly shaped plane figure.
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Solution
To find the area of an irregularly shaped plane figure, we have to use graph paper.
- Place a piece of paper with an irregular shape on a graph paper and draw its outline.
- To find the area enclosed by the outline, count the number of squares inside it (M).
- You will find that some squares lie partially inside the outline.
- Count a square only if half (p) or more of it (N) lies inside the outline.
- Finally count the number of squares, that are less than half. Let it be
For the shape in figure we have the following:
M = 50
N = 7
P = 4
Q = 4
Now, the approximate area of the can be calculated using the following formula.
Area of the leaf = `"M"+(3/4) "N" + (1/2) "P"+1/4 "Q sq.cm"`
= 52 + 5.25 = 58.25 sq.mm = 0.5825 sq.cm
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