**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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