This question was uploaded on 14/10/21 on social media accounts.
A circle is inscribed in a semicircle and separated by a chord perpendicular to the diameter of the semicircle.
Solution:
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\[r=2R\cdot\cos\theta\cdot(1-\cos\theta)\]
Also,
\[2R\cdot\cos\theta=10\]
\[\Rightarrow r=10-10\cos\theta\]
Now,
\[Blue⠀Line = r+10\cos\theta\]
\[\Rightarrow Blue⠀Line = 10\]
Puzzle related to Geometry, Circle, Length.
