Area Black will be;
Area triangle BCD - area sector of radius 4m and angle 45° + area sector of radius 4m and angle 45° - quarter circle of radius 2m - 2(right-angled triangle of height and base 2m each) + quarter circle of radius 2m.
= ½(16) - (16π)/8 + (16π)/8 - ¼(4π) - 2(½(4)) + ¼(4π)
= 8 - 2π + 2π - π - 4 + π
= 8 - 4
= 4 m²
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