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IKMC 2027 - Grades 7-8 - Self-study SET 16 - Thematic Batch 3 Question 19

IKMC · IKMC 2027 - Grades 7-8 - Self-study SET 16 - Thematic Batch 3

Question 19

Three circles are placed in a rectangle of length 6 m as shown. Adjacent circles are tangent. Find the shaded area.

The equal circles and their tangencies to the rectangle are read from the supplied figure, as in the source solution.

Question illustration
  1. $6-\frac{3\pi}{2}$
  2. $12-3\pi$
  3. $6-\pi$
  4. $6-\pi\sqrt3$
  5. $12+3\pi$