ОКСФОРД ПОВЕРЖЕН! За 1,5 минуты! ПОЕХАЛИ!

Oxford has been defeated! The ratio of the areas of circles is 1:10. Find the sum of R + r. Professors from the UK and Imperial College London almost never assign problems on pure plane geometry on the MAT entrance test. But this time, applicants were faced with a tough geometry problem involving two tangent circles inside a square with a side of 1. The problem statement clearly warns: "The diagram is not to scale." Most applicants get bogged down in complex algebra, systems of equations, and the 1:10 area ratio. But we'll skip the cumbersome calculations and crack this Oxford test in 1.5 minutes using an elegant imaginary projection! And at the end of the video, you'll find the ultimate mathematical mystery: why did Oxford include the area ratio in the problem statement if we didn't need it at all to find the sum of the radii? Ponder this invariant and share your theories in the comments! The smartest ones could solve the problem mentally... So, are we packing our bags and heading to Oxford? 😉 LET'S GO! #geometry #oxford #math #plane geometry #valerykazakov #geometryproblems #MAT test #oxfordmath #olympiad #egeprofile