Of these five figures, which shaded area is the greatest? The large circle in each figure has the same radii.
What fraction of the volume of this can is filled with lemonade?
What fraction of the area of this regular hexagon is the shaded triangle?
Three circles of different radii each touch the other two. What can you deduce about the arc length between these points?
Can you work out the fraction of the larger square that is covered by the shaded area?
Three circles have been drawn at the vertices of this triangle. What is the area of the inner shaded area?
Three touching circles have an interesting area between them...
Weekly Problem 7 - 2014
Weekly Problem 23 - 2014
Weekly Problem 52 - 2014
Weekly Problem 5 - 2015
The diagram to the right shows a logo made from semi-circular arcs. What fraction of the logo is shaded?
The circle of radius 4cm is divided into four congruent parts by arcs of radius 2cm as shown. What is the length of the perimeter of one of the parts, in cm?