Geometry
General Polygons
What is the area of the shaded hexagon in rectangle \(ABCD\) in the diagram below?
Details and assumptions:
- If your answer is \(12 \text{ cm}^2\), type it in as \(12\).
What is the area of hexagon \(ABCDEF\) in the diagram below?
\[\] Details and assumptions:
- Let \(\sqrt{3}=1.732.\)
- In the diagram above, red lines are parallel to one another and blue lines are parallel to one another.
What is the area of quadrilateral \(ABCD\) in the diagram below?
\[\] Details and assumptions:
- Let \(\sqrt{3}=1.732.\)
What is the area of the nonagon inscribed in the circle with radius 4 below?
\[\] Details and assumptions:
- Use the following formula to find \(\sin 15^\circ :\) \[\sin^2 15^\circ = \dfrac {1-\cos 30^\circ}{2}.\]
- Let \(\sqrt{2}=1.414,\) \(\sqrt{3}=1.732,\) and \(\sqrt{6}=2.449.\)
What is the area of the regular hexagon below, where the area of the shaded region is 34?
