# 100 Follower Special

Geometry Level 5

$$ABCDEFG$$ is a regular heptagon with centre $$O$$. Let there be an incircle in $$\triangle ODE$$ with centre $$P$$, and let the point of tangency of the incircle and the line $$ED$$ be $$Q$$.

Given that the side length of the heptagon is 5, find the area of $$PBQG$$ correct to 2 decimal places.

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