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IKMC 2027 - Grades 9-10 - Self-study SET 6 - Thematic Batch 3 Question 4

IKMC · IKMC 2027 - Grades 9-10 - Self-study SET 6 - Thematic Batch 3

Question 4

A right triangle with sides 6 cm, 8 cm and 10 cm has its right-angle vertex at the centre of a square of side 6 cm, as in Figure 1. The triangle is rotated about that vertex to obtain Figure 2. What is the grey area in Figure 2, in square centimetres?

Question illustration
  1. 2√13
  2. 6
  3. 3√13
  4. 6 + √13
  5. 9