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2024 InIMC keystage2-EMIC individual Question 12

xIMC · 2024 InIMC keystage2-EMIC individual

Question 12

A horse-shaped diagram is drawn inside a circle on a grid composed of unit squares, where $A$ and $B$ lie on grid points situated on the diameter of the big circle, as shown below.

Question illustration

What is the area, in cm², of the shaded region, given that the arcs $a,b,c,d,e,f,g,h$ are all identical and each is contained in a $1\times3$ region, and the arcs $x$ and $y$ are identical, and each is contained in a $2\times6$ region? (Take $\pi=\frac{22}{7}$)