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2016 TIMC keystage2-EMIC individual Question 3

xIMC · 2016 TIMC keystage2-EMIC individual

Question 3

With each vertex of a 1 cm by 1 cm square as centre, circles of radius 1 cm are drawn, as shown in the diagram below. How much larger, in $\mathrm{cm}^2$, is the area of the shaded region than the area of a circle of radius 1 cm? (Take $\pi=3.14$)

Question illustration