Home /
Expert Answers /
Geometry /
take-a-circle-of-radius-2-stack-a-circle-of-radius-1-directly-on-top-call-this-a-snowperson-cir-pa666
(Solved): Take a circle of radius 2 . Stack a circle of radius 1 directly on top. Call this a snowperson. Cir ...
Take a circle of radius 2 . Stack a circle of radius 1 directly on top. Call this a snowperson. Circumscribe the snowperson. Put the largest two circles inside the circumscribed circle you can. What is the area of the largest two circles you can THEN fit inside the circumscribed circle on either side? Is there a relationship between the size of the circles at each stage of this process?
To find the largest two circles that can fit inside the circumscribed circle, we need to draw a line through the center of the circumscribed circle that is perpendicular to the line connecting the centers of the two smaller circles.
This line will divide the circumscribed circle into two equal halves.