Problem:
Geometry-Circles (InterMath)
What happens to the circumference
of a circle if you double the diameter?
If you triple the diameter?
If you halve the diameter?
As the diameter increases
or (decreases) in measure, how does the circumference change?
Why does this change occur?
Solution:
Circumference of a Circle= 2 (pi) r = d (pi)
If I choose the diameter equal to 5C= 5(pi) (equals
about 15.71)
If I double that diameterC= (2 * 5) pi= 10(pi) (equals about 31.42)
If I triple that diameterC= (3 * 5) pi = 15(pi) (equals about
47.12)
If I halve that diameterC= (5/2) pi = 2.5 (pi) (equals about 7.85)
There is a positive correlation between the diameter
of a circle and the circumference of that same circle.
As the diameter increases, the circumference of that
circle also increases.
As the diameter decreases, the circumference of that circle also
decreases.
This change occurs because the diameter is the length
of the widest part of the circle (the maximum distance from one
point on a circle to another. One cannot change the diameter without
changing the circumference (measure of the outside of the circle)
of a circle.
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