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2018 AMC 8 Question 15

AMC8 · 2018 AMC 8

Question 15

In the diagram below, a diameter of each of the two smaller circles is a radius of the larger circle. If the two smaller circles have a combined area of $1$ square unit, then what is the area of the shaded region, in square units?

Question illustration
  1. $ \dfrac{1}{4} $
  2. $ \dfrac{1}{3} $
  3. $ \dfrac{1}{2} $
  4. $ 1 $
  5. $ \dfrac{\pi}{2} $