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Elementary Geometry for College St...
Solutions
Elementary Geometry for College St...
A windshield wiper rotates through a 1200 angle as it cleans a windshield. From the point of rotation, the wiper blade begins at a distance of
To find:
The area cleaned by the wiper blade.
Formula:
Area of sector:
If r is the radius of the circle, the area
Calculation:
To find the area cleaned by wiper blade, we have to subtract the area of inner sector with radius
Area cleaned by wiper blade
It is given that the wiper blade sweeps through an angle of
Hence the degree measure of arc is
Let’s find the area of outer sector.
From the diagram, it is clear that the radius
Let’s substitute the value of radius of outer sector and
Simplify:
Simplify:
Let’s substitute the value of
Chapter 8 Solutions
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