In the diagram below, 8 identical regular octagons, with side length x, enclose a shape. What is the area of the enclosed shape? Write your answer in the form p(2 + √2)x2 where p is an integer.
A regular hexagon with side length 2 has semicircles constructed in its interior of each side. What is the shaded area inside the hexagon not covered by the semicircles?
Three identical squares are shown in the diagram. If the area of the triangle is 1 square meter, what is the area of a single square?
If side lengths of the squares in the diagram are 8, 6 and 4 respectively. Find the area of the grey region?
What is the side length of the smallest regular hexagon that can pack 6 circles of unit length in the given way?
