# Find the area

Geometry Level 5

A circle with centre $${ O }_{ 1 }$$ and radius $$2r$$ is drawn. A point $${ O }_{ 2 }$$ is taken at a distance $$r$$ from $${ O }_{ 1 }$$. Now a circle is drawn with centre $${ O }_{ 2 }$$ and radius $$r$$. Now two lines are drawn from $${ O }_{ 2 }$$ each making an angle $${ 60 }^{ 0 }$$ with $${ O }_{ 1 }$$$${ O }_{ 2 }$$ produced and the given figure is obtained.

If the area of the shaded region in the given figure can be written as $$A=k{r}^{2}$$ then find $$\left\lfloor 100k \right\rfloor$$.

Note: The starting part of the question is just a description of how the figure is drawn. The figure must be taken as the reference for finding the shaded region.

###### Also try Let's play pool.
×

Problem Loading...

Note Loading...

Set Loading...