# Two Semi-Circles Inside a Rectangle +-- {.image} [[TwoSemiCirclesInsideaRectangle.png:pic]] > What fraction of the rectangle is shaded? =-- ## Solution by [[Circle Geometry]] +-- {.image} [[TwoSemiCirclesInsideaRectangleLabelled.png:pic]] =-- With the points labelled as in the above diagram, [[quadrilaterals]] $C D E F$ and $A B C F$ are [[kites]], so $D C$ and $C F$ have the same length, as to $B C$ and $C F$. Therefore, $B C$ and $D C$ have the same length. The [[triangle|area]] of the white triangle is therefore one quarter of the area of the rectangle and so $\frac{3}{4}$ of the rectangle is shaded.