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Omni-MATH / Let ω be a fixed circle with radius 1, and let BC be a fixed chord of ω such that BC=1. The locus of the incenter of ABC as A varies along the circumference of ω bounds a region R …

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problem

Let ω\omega be a fixed circle with radius 1, and let BCB C be a fixed chord of ω\omega such that BC=1B C=1. The locus of the incenter of ABCA B C as AA varies along the circumference of ω\omega bounds a region R\mathcal{R} in the plane. Find the area of R\mathcal{R}.
Plain-text mathematical notation (without MathML)
Let ω be a fixed circle with radius 1, and let BC be a fixed chord of ω such that BC=1. The locus of the incenter of ABC as A varies along the circumference of ω bounds a region R in the plane. Find the area of R.
Original LaTeX notation
Let $\omega$ be a fixed circle with radius 1, and let $B C$ be a fixed chord of $\omega$ such that $B C=1$. The locus of the incenter of $A B C$ as $A$ varies along the circumference of $\omega$ bounds a region $\mathcal{R}$ in the plane. Find the area of $\mathcal{R}$.

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Source and history

task_id
1dba7ef8-ce1c-5107-bfab-4e6d3cabcf30
task_key
test--1dba7ef8-ce1c-5107-bfab-4e6d3cabcf30
task_revision_id
1
config / split
/ test

Official source

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