Shaded area
= Total area - Unshaded area
= 1 square + 1 circle - (1 square + 0.5 circle)
= 0.5 circle
= 0.5 x pi x 10 x 10
= 50pi cm^2
6 years ago
Angel Low
1 step only😱 @Raymond Ng
6 years ago
Xavier Sng
Good afternoon, Angel Low. The total area of the figure is made up of the area of square ABDF and the areas of two semi circle BCD and semi circle DEF (which combine into one single circle of radius 10cm.)
The unshaded areas include
(1) the right angle triangle BDF,
(2) the semi circle inside triangle ABF,
(3) the triangle BCD and triangle DEF.
The two triangles in (3) combined are equal in area to the bigger triangle in (1). Do you see why? The combined areas of those three triangles is equal to the area of the square ABDF.
As for the semi circle in (2), it is equal in area to the area of semi circle BCD or the area of semi circle DEF.
I hope that explains why the quick version of the solution is half the area of a semi circle of radius 10cm.
6 years ago
Angel Low
Good afternoon to you too...Your explanation do help!Thank you
@Xavier Sng and @Raymond Ng
Appreciate it very much!