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Australian AMC 2020 - Intermediate Question 24

AMC AUSTRALIA · Australian AMC 2020 - Intermediate

Question 24

Five squares of unit area are circumscribed by a circle as shown.
What is the radius of the circle?

Question illustration
  1. $\frac32$
  2. $\frac{2\sqrt5}3$
  3. $\frac{\sqrt{10}}2$
  4. $\frac{\sqrt{13}}2$
  5. $\frac{\sqrt{185}}8$