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Australian AMC 2012 - Intermediate Question 16

AMC AUSTRALIA · Australian AMC 2012 - Intermediate

Question 16

The shape shown is formed from four identical arcs, each a quarter of the circumference of a circle of radius 5 cm.

Question illustration

What is the area, in square centimetres, of the shape?
  1. 50
  2. $\frac{25\pi}{2}$
  3. $25\pi-25$
  4. $100-\frac{25\pi}{2}$
  5. $25\pi$