# Super Cool Geometry

Geometry Level 5

If perpendiculars be drawn on the sides of a regular polygon of $$n$$ sides from any point on the inscribed circle whose radius is $$a$$ , then the following conditions hold true :-

$$\frac{2}{n} \times \sum (\frac{p}{a})^{2} = b$$ and $$\frac{2}{n} \times \sum (\frac{p}{a})^{3} = c$$
- where $$p$$ is the length of the perpendicular

Find $$b^{7} + c^{11}$$

You can try more of my Questions here .

×