If I print this page which shape will require the more yellow ink?
Prove that the shaded area of the semicircle is equal to the area of the inner circle.
At the corner of the cube circular arcs are drawn and the area enclosed shaded. What fraction of the surface area of the cube is shaded? Try working out the answer without recourse to pencil and paper.
Four quadrants are drawn centred at the vertices of a square . Find the area of the central region bounded by the four arcs.
Draw two circles, each of radius 1 unit, so that each circle goes through the centre of the other one. What is the area of the overlap?
Semicircles are drawn on the sides of a rectangle. Prove that the sum of the areas of the four crescents is equal to the area of the rectangle.
Can you find a relationship between the area of the crescents and the area of the triangle?
Weekly Problem 13 - 2006
If three runners run at the same constant speed around the race tracks, in which order do they finish?
