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#12333

area

rectangles

geometry

hard

180 sec

A rectangle is inscribed in a circle, with all vertices on the circle's circumference. The ratio of the diagonal length to the shortest side length of the rectangle is $2 : 1$ . If the area of the rectangle is $6253$ square units, find the length of the circle's diameter.

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.