1) Find the area of an equilateral triangle if the radius of its inscribed circle is \(6\).
2) Find the area of a regular hexagon with apothem (\3\).
2) Find the area of a regular hexagon with apothem (\3\).
4) Find the area of a parallelogram with sides \(8\) and \(12\) and an included angle of \(150^{\circ}\).
5) A parallelogram with sides \(14\) and \(48\) is inscribed in a circle. Find the area of the region outside of the parallelogram but inside the circle.
5) A parallelogram with sides \(14\) and \(48\) is inscribed in a circle. Find the area of the region outside of the parallelogram but inside the circle.
10) Find the ratio of the areas of region I to region II in each figure.
12) If all of the triangles shown are isosceles right triangles and \(AE = 8\), then what is the area of the shaded region?
13) The midpoints of the sides of rhombus \(RHOM\) are \(A, B, C\) and \(D\). If \(AB = 10\) and \(AD = 7\), find the area of \(RHOM\).
14) Two sides of a rhombus form a \(45^{\circ}\) angle. One of the sides has length \(8\). Find the area of the rhombus.
14) Two sides of a rhombus form a \(45^{\circ}\) angle. One of the sides has length \(8\). Find the area of the rhombus.