The figure, not drawn to scale, is made up of a square and a circle. The area of the circle is
16 the area of the square. Given that
13 of the circle is shaded, what fraction of the whole figure is unshaded?
| Circle |
Square |
| 1x3 = 3 u |
6x3 = 18 u |
| Unshaded Area |
Shaded Area |
Unshaded Area |
| 2x1 |
1x1 |
18 u - 1 u |
| 2 u |
1 u |
17 u |
The area of the circle is the combined repeated identity. Make the area of the circle the same. LCM of 1 and 3 is 3.
Total area of the figure
= 2 u + 18 u
= 20 u
Unshaded area of the figure
= 2 u + 17 u
= 19 u
Fraction of the whole figure unshaded
=
Unshaded areaWhole figure=
1920 Answer(s):
1920 
