A square and two rectangles, connected by two circular arcs, form a square. What is the proportion of the orange to the green area?

# Tag: rectangle

## The velocipede

Two circles are embedded in a frame of size 9 x 8. What is their total area?

## The blockhat

Four congruent rectangles are placed in a hat-shaped configuration. What’s the angle between the lines connecting the opposite corners?

## The corner pocket

A snooker player wants to corner a ball starting from a point on one side and bouncing two times from the opposite sides. Given the dimensions of the table in the figure, what’s the length of the track the snooker ball travels?

## The marble box

Two marbles of sizes π and 4π are enclosed in a rectangular box. What is the total area of the box?

## The folded sheet

A rectangular sheet of paper is folded in such a way that two equal angles are formed as shown. What fraction of the resulting quadrilateral is shaded?

## Moon over mountains

A rectangular frame encloses two congruent equilateral triangles and a unit circle. What is difference between width and height of the rectangle?

## The tilted brick

A rectangle is covering a square such that they share a diagonal and the top side of the square is divided in half as shown. What fraction of the square is covered by the rectangle? And what fraction of the rectangle is covered by the square?