Part (i)
The square has area of 12*12 = 144 square meters. From that, we carve out four quarter-circles from each corner, as the diagram shows. Imagine that we rearranged the quarter circles so that they would then form a full circle. This circle would have radius 6 (half of the 12 meters), so the area of the circle is pi*r^2 = pi*6^2 = 36pi exactly
The four white sections combine to an exact area of 36pi, which approximates to 36*3.14 = 113.04 square meters. Use more decimal digits in pi to get a better approximation.
Exact answer: 36pi square meters
Approximate answer: 113.04 square meters (when using pi = 3.14)
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Part (ii)
Once we know what the white sections combine to, we can subtract that area from the total overall area of 144 m^2
We end up with 144 - 36pi as the exact area of the red section
This approximates to 144 - 36*3.14 = 30.96 m^2
Exact answer: 144 - 36pi square meters
Approximate answer: 30.96 square meters (when using pi = 3.14)
