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Elementary Geometry for College St...
Solutions
Elementary Geometry for College St...
Find the exact areas of the shaded regions in Exercises 27 to 31.
To find:
The exact areas of the shaded regions.
Calculation:
Consider the following diagram as shown below:
In equilateral triangle, the circle touches at the midpoint of the sides of the triangle.
In equilateral triangle, the median passes through the origin of the circle and origin becomes centroid of the triangle.
Centroid divides the median in ration 2:1 from the vertex.
In equilateral; triangle, the median becomes perpendicular bisector of the triangle.
That is
Now find the length of the median
Use Pythagorean Theorem to the right angled triangle
Chapter 8 Solutions
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