by: Karen Caporino
To construct a circle that is tangent to the
radii 2 congruent circles
To compare the area and circumference of the
2 tangent circles
Description of procedures
The circumference of the larger circle
is twice the circumference of the smaller circle.
The area of the larger circle to the smaller
circle is proportional to the circumference of the larger to the
Conclusions (Analysis using technology)
Construct 2 congruent circles such that of
each circle passes through the other circle's center.
Construct another circle inside both of the
larger circles that is tangent to both.
The area of the larger circle is 4 times the
area of the smaller circle
The circumference of the larger circle is
2 times the circumference of the smaller circle.
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Therefore, the area of Circle A is 4 times
the area of Circle C.
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see the construction.