The figure, not drawn to scale, is made up of a square and a circle. The area of the circle is
14 the area of the square. Given that
23 of the circle is shaded, what fraction of the whole figure is unshaded?
Circle |
Square |
1x3 = 3 u |
4x3 = 12 u |
Unshaded Area |
Shaded Area |
Unshaded Area |
1x1 |
2x1 |
12 u - 2 u |
1 u |
2 u |
10 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
= 1 u + 12 u
= 13 u
Unshaded area of the figure
= 1 u + 10 u
= 11 u
Fraction of the whole figure unshaded
=
Unshaded areaWhole figure=
1113 Answer(s):
1113