Madison has only marked the degree measure on the arcs of the outermost ring of the garden. Determine the angle measure for the arcs on the inner and middle rings of the garden.
Answers
Given : Madison has only marked the degree measure on the arcs of the outermost ring of the garden.
To find : Determine the angle measure for the arcs and arc length on the inner and middle rings of the garden
Solution:
Angle measure for the corresponding arcs on the inner and middle rings will be same as outer Ring
Outer ring angles Measure of arc 40° 50° 60° 90° 120°
Inner ring angles Measure of arc 40° 50° 60° 90° 120°
Middle ring angles Measure of arc 40° 50° 60° 90° 120°
Arc Length = (arc Angle / 360°) * 2π r
40° 60° 90° 120°
Outer ring arc lengths = 30 * (2π /9) 30 * ( π /3) 30 * ( π /2) 30 * (2π /3)
Inner ring arc lengths = 10 * (2π /9) 10 * ( π /3) 10 * ( π /2) 10 * (2π /3)
Middle ring arc lengths = 20 * (2π /9) 20 * ( π /3) 20 * ( π /2) 20 * (2π /3)
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