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APMOPS 2017 Question 30

APMOPS · APMOPS 2017

Question 30

The figure shows 4 overlapping circles with each circle passing through the centres of its adjacent 2 circles. The figure measures 60 cm vertically from top to bottom as shown below. Find the total area of the shaded parts. (Take $\pi=3.14$.)

Source note: the intended solution uses the square arrangement of the four centres suggested by the picture; no right angles between centre-to-centre segments are explicitly stated.

Question illustration