Mendocino County Today will be late this morning (supply chain issue).
A puzzle while you wait:
Examine the diagram carefully. It shows a quadrant of a circle radius 'r', with a rectangle touching the perimeter of the circle. What is the length of the line labeled A-C
Doesn’t give any reference to the length of any two points so can’t find an actual length. I can tell you the distance from A to C is equal the the distance from O to B, which is the radius. So A-C=R, am I missing something obvious?
A-C is the same length as O-B because it’s the diagonal of a rectangle. Because it’s a circle to radius is the same all the way around. Therefore A -C is the same as r.
sqrt {a2 + c2}
Looks like a 60 30 right triangle, so if OC = r/2 then AC = 2*(r/2) = r
Have to admit I’m just puzzled by the puzzle as I wait patiently for the news of the day from the AVA. I’ll pet my cat, stretch a bit and have breakfast. Hope you all are doing well, not going too crazy getting past the publishing obstacles today….
The puzzle answer is “r”: see bharper’s comment for a clear explanation why.
WHAT WE DO NOW
From the New York Times, 7/4/25
To the Editor:
(Re “In Immigrant Detentions, Filth and Despair Fester” –front page, June 29:)
“I’m curious to know: Apart from enforcers of the current political regime in Washington, are there American citizens who celebrate the fact that unidentified thugs, dressed in black tactical gear, are grabbing our neighbors from their homes or workplaces and tossing them into vehicles to imprison them in crowded detention centers? What has become of us?
As a culture, we Americans pretend to value freedom, we boast of being hard-working and ambitious, and we display bumper stickers advising lovingkindness. How is it that now we are encouraged by right-wing politicians to celebrate the vicious separation of families, the arrests of individuals who have lived in our cities and towns for decades and who are children and parents and grandparents? So many of them work hard to make a living, provide a service and belong to our community .
Is this who we are now? And if that’s not who we are, are we prepared to watch from the sidelines without demanding that our senators and representatives call out and prohibit these police-state outrages? What happened to our cherished rule of law, due process and common humanity?
Have we become so cruel or hopeless or cynical that we keep our heads down and hope that the gaze of the authorities — feeding on fear and intimidation — will pass over us and enforce our silence in the face of their hateful and illegal actions? We may avoid their attention, but history will understand that silence as complicity.”
Brad Parks Santa Barbara, Calif.