Find the area of a star formed in an octagon placed on an equilateral triangle.

Two straight lines, AB and CD, are on the same plane. One, but only one, of the following statements is true: AB and CD are parallel AB and CD are not perpendicular AB and CD intersect Which statement is it?

FInd the exact value for the purple area within the dodecagon. Note: Not for the faint-hearted.

Find the exact value of the purple area.

Find the exact perimeter of the purple pentagram inside the unit equilateral triangle.

Find the exact value of the purple area.

Find the exact value of the purple area.

Find the purple area.

Find the exact value for the purple area.

Find the shaded area. The purple point is the centre of the square.