2021-10-02

Dare2solve | Semicircle in a semicircle - Area of Semicircle

This question was uploaded on 01/10/21 on social media accounts.

A semicircle is fitted completely in a semicircle and the diagonal of the larger circle is tangent to the smaller circle and cut the diagonal in lengths 2 and 4.



Solution:

\[x^2=1^2+r^2----(1)\]
\[x^2=3^2-r^2----(2)\]
From above two equations:
\[r^2=4\]
Area:
\[A=2\pi\]






Puzzle is related to Geometry, Circle, Area.

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