B is the center of the larger circle and C is the center of the smaller circle. A is a point on the larger circle such that angles ABC form a right angled triangle, and the length of AC is 5. the bigger circle has area 9 pie. what is the perimeter of the bigger circle and the perimeter of the smaller circle?
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Expert's answer
2012-08-28T10:26:04-0400
Area the of largest circle is pi*r^2=9;
r^2 = 9 pi / pi;
r = 3;
So, AB = 3;
BC^2 = AC^2 - AB^2 = 25 - 9 = 16;
BC = 4; Let O be the point of tangency of the circles with the centers B and C respectively.
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