The total length needed to outline the shaded green part is 7.25 feet if the angle of green arc is 75 degree.
What is a circle?
It is defined as the combination of points that, and every point has an equal distance from a fixed point (called the center of a circle).
We know the perimeter of the sector is:
P = Arc length + radius + radius
[tex]\rm P = \dfrac{\theta}{360}\times d+r+r[/tex]
To find how many feet will be needed to outline the shaded green part, first we find the green plus clear glass and subtract then only clear glass and find the difference.
Here, for outer diameter d = 12 feet and outer radius = 6 feet
For inner diameter = 6 feet and inner radius = 3 feet
θ = 75°
The outline needed for the green part:
[tex]=\rm (\dfrac{75}{360}\times 12+6+6)-(\dfrac{75}{360}\times 6+3+3)[/tex]
= 14.5 - 7.25
= 7.25 feet
Thus, the total length needed to outline the shaded green part is 7.25 feet if the angle of green arc is 75 degree.
Learn more about circle here:
brainly.com/question/11833983
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