The largest four-faced clock in the USA is the Allen Bradley Clock Tower in Milwaukee, Wisconsin. The diameter of its face is 40 feet 3.5 inches, and its minute hand is 20 feet in length. If you are a bug sitting on the very tip of the outer end of the minute hand, how fast are you traveling?

## Geometry

## Find Edge of Cube Given Diagonal

The diagonal of a cube is 20 cm. How long is its edge?

## Interior Segments of Square

A square has sides each having a length of 2. Segments are drawn from one vertex to the midpoints of each of the four sides of the square. What is the sum of the lengths of these segments?

## Circular Lawn with Path

A circular grass plot 12 feet in diameter is cut by a straight gravel path 3 feet wide, one edge of which passes through the center of the plot. The number of square feet in the remaining grassy area is:

- 36 – 34
- 30 – 15
- 36 – 33
- 35 – 9√3
- 30 – 9√3

## Seven Circles in Large One

The total area enclosed by the small circles is what fraction of the area enclosed by the larger circle?

## Irregular Hexagon

Express the area of this figure in simplest radical form. There are two right angles, and four other angles that are marked as being congruent.

## Billy the Goat

Billy the goat is tied to the corner of Patty�s barn. The barn is 20 x 40 feet, and the rope is 50 feet long. No trees or other obstructions are in the way. What is the available area of grass that Billy can eat? (Draw a good picture of this area first.)

## Marvin and Deedee

A: Marvin tied his dog, Deedee, with a rope 10 meters long at an outside corner of his regular hexagonal walled garden having sides of 8 meters. What is the area of ground that Deedee can cover, as determined by the limits of the rope and the walls?

B: Now do the same problem with Deedee tied inside the garden.

## Midline Triangle Area

In a △ABC, D is the midpoint of AB; E is the midpoint of DB; and F is the midpoint of BC. If the area of △ABC is 96, then the area of △AEF is:

- 16
- 24
- 32
- 36
- 48

## Split Parallelogram Area

*PQRS* is a parallelogram. Let *m* be a line that passes through the parallelogram in such a way that it splits the area into two equal parts. How many such lines can there be? If you were to draw all of these lines, you would notice something about them: What is it?