Area - circles, sectors and segments

What is the total area enclosed by the three semicicles?

Which is a better fit, a square peg in a round hole or a round peg in a square hole?

Prove that the shaded area of the semicircle is equal to the area of the inner circle.

If I print this page which shape will require the more yellow ink?

A floor is covered by a tessellation of equilateral triangles, each having three equal arcs inside it. What proportion of the area of the tessellation is shaded?

Can you work out the shaded area surrounded by these arcs?

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.

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.

How efficiently can you pack together disks?

What fractions of the largest circle are the two shaded regions?