# 2 circles tangent to each other... (Application of Angle Bisector)

Geometry Level 3

Given 2 $$congruent$$ circles w/ center $$O_{1}$$ and $$O_{2}$$ is tangent to each other and circle $$O_{1}$$ is tangent to AB and Circle $$O_{2}$$ is tangent to CB. If $$\angle ABC$$ is $$60 degrees$$ and there is 1 chord in Circle $$O_{1}$$ named $$AD$$ such that, it is tangent to $$AB$$ as shown in the fig. Given that $$AD$$ is $$15 cm.$$, find the $$Area(Circle O_{1}) + Area(Circle O_{2}$$.

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Assumptions: Use $$\pi = 3.14$$ or $$\cfrac{22}{7}$$ or $$3.1416$$

Note:

1) Round down your answer to a whole number $$i.e. 1.222222... = 1, 300.1222222 = 300, 8999.8888... = 8999$$

2) Point $$D$$ is found between the 2 circles. (point of tangency)

3) $$AD$$ and $$CD$$ are not radii.

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