Calculate the area a brick region? The length from the base of the rectangle to the top of the arc is called "Sagita".
1 Answer
Area of the brick structure
Where
Explanation:
Let
To find the area of the segment we need to calculate 1. the area of the sector, 2. Area of the triangle and use the expression
Given in the figure are chord
We can derive from (1) that
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1.
Area of circle
Therefore area enclosed by angle
2.
In triangle
Area of the Triangle
Substitute the values of
Area of Triangle
Using trigonometric identity
and seeing that
Expressing
since
Using (4), from equation (3) we get
Area of Triangle
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From the figure in the main problem
Given
Chord
Also
Area of the brick structure
Substituting given and calculated values
Area of the brick structure
Since numerical value of radius