Day Four: The Relationship of two
circles
by Nami Youn
Objective
to explore the directional relationship of two circles
1. Direction of two circles
Let O & O' be the center and r & r' be the radius of given
circles, respectively. r > r'.
Let d be the distance between the centers of two circles.
Case 1 A circle is outside
another one
r+r' < d
gsp file
Case 2 A circle is circumscribed
in another one
r+r' = d
gsp file
Case 3 Two circles have
two coomon points
r - r'< d < r + r'
gsp file
Case 4 A circle is inscribed
in another one
r - r' = d
gsp file
Case 5 A circle is inside
another one
r - r' < d
gsp file
Case 6 Concentric
circles
d = 0
gsp file
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