Let a be the radius of the circle and also, the width of the green rectangle.
b = 180-45
b = 135°
c = ½(45)
c = 22.5°
It implies;
cos22.5 = d/10
d = 9.2387953251 units.
d is the length of the green rectangle.
Calculating a.
cos22.5 = 5/a
a = 5.4119610015 units.
Therefore, area green rectangle is;
a*d
= 5.4119610015*9.2387953251
= 50 square units.
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