## Pizza Pizzazz

Thomas complains the prices of pizzas at a restaurant are unfair. Why?

## Wheeling Along

Determine the number of times a smaller wheel must revolve before a larger wheel begins rolling if the wheels will eventually meet under certain conditions.

## Tangent Lines to a Circle

How does a tangent line relate to the radius that intersects the tangent line?

## Packing Circles

Investigate how many circles you can pack inside a square.

## Locus of Reflection

Trace the path of a reflected point to determine a pattern and the reason the pattern occurs.

## Inscribed Parallelogram

What must be true about a parallelogram that is inscribed in a circle?

## Quarter-Circle Spiral

What relationships can you find between the radii of quarter circles?

## Equidistant Chords

Determine the relationship between two segments that have endpoints on a circle if the segments are the same perpendicular distance away from the center of the circle.

## Passing thru the Center

What is the relationship between two circles relate that pass through each other’s centers?

## Perpendicular Bisectors

Describe the significance of the perpendicular bisectors of two segments that have endpoints on a given circle.

## Inscribed in a Triangle

Construct a circle inscribed in a triangle so that it will always remain inscribed in the triangle.

## Inscribed in a Semi-Circle

Examine the angles inscribed in a semicircle.

## Opposite Angles

Find a relationship between the opposite angles in a quadrilateral inscribed in a circle.

## Squaring the Circumference

Find a method that will construct a square that has the same perimeter as the circumference of a given circle.

## Grazing for Mooey

How many square meters of grazing ground does Mooey the cow have?

## The Bicycle Problem

Compare the radius of a bicycle wheel to the number of revolutions the wheel makes.

## Running in Circles

Can Peanut the dog get a drink of water if his bowl of water is 20 feet away from the stake he is tied to?

## A Common Ratio

Compare the ratio of the circumference (C) and the diameter (d) of several circles.

## Rationalize Pi

Approximate pi with a rational number.

## N-Sided Circle?

Compare the perimeters of polygons to the circumference of a circle.

## Wrapping Around the World

How much string is needed to wrap around the world?

## Walking Around the World

Compare the distance a man’s head travels to the distance his feet travel when he walks around the world.

## Surface Area

Relate the surface area of a sphere to the area of a circle.

## Surrounding Squares

Find a method that will construct a square that has the same area as the area of a given circle.

## Circle Inscribed in a Semicircle

Compare attributes of a circle that is inscribed in a semicircle to attributes of that semicircle.

## Segment Areas

Determine the measure of the central angle of a circle that will make the shaded region’s area 1/ 4 of the entire circle’s area.

## Dividing Pizza

Compare slices of pizza from pizzas with different diameters.

## Summing Circles

Finding the cumulative area of shrinking circles.

## Inscribed Circle

Finding an estimation for the area of a circle.

## Target Areas

Determine the area of a target formed by concentric circles.

## Dalmatian Day

Cut various circles from paper measuring 9 inches by 12 inches. What’s the area of the circles and the percent of paper wasted after cutting out the circles?