Task 1217
Task 1217: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. A circle with center $A$ and radius three inches is tangent at $C$ to a circle with center $B$, as shown. If point $B$ is on the small circle, what is the area of the shaded region? Express your…
The task
A circle with center $A$ and radius three inches is tangent at $C$ to a circle with center $B$, as shown. If point $B$ is on the small circle, what is the area of the shaded region? Express your answer in terms of $\pi$. [asy] filldraw(circle((0,0),6),gray,linewidth(2)); filldraw(circle(3dir(-30),3),white,linewidth(2)); dot((0,0)); dot(3dir(-30)); dot(6dir(-30)); label("$B$",(0,0),NW); label("$A$",3dir(-30),NE); label("$C$",6dir(-30),SE); [/asy]