Tofind:the area of the composite figures by using
Answer to Problem 26HP
Explanation of Solution
Given:
A composite figure is formed by circles and polygons.
Calculation:
A composite figure is made up of several simple geometric figures such as
For example: consider a rectangle whose length is 20 cm and its width is 7 cm and a semicircle is drawn on both sides of the width.
The objective is to find the area of the composite figure.
Now, divide the given figure in to twosemicircles of equal dimensions, which is circle and a rectangle of dimensions 20 cm and 7 cm, which is
The area A of a two semicircle is given by the formula
The area A of the rectangle is given by the formula
Thus, area A of the circle is given by
And the area A of the rectangle is given
Thus, the required area of the figure is the sum of the area of 2 semicircle, and one rectangle
Therefore,
Hence, the required area of figure is
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