Pizza Time
Most pizza shop's menus do not list their pizzas by their radius, they use this other measurement to make the pizza seem twice as big
What is the diameter of a circle with a circumference of 28.27 in? (round to nearest inch)
9 in
If you want to walk entirely around a lake, what formula would you need to use to find the total distance you walked around it?
Either 2(pi)r or (pi)d
The Radius
Formula for the diameter of a circle
(pi)*radius
If you are looking at a menu to compare if the large or medium pizza has the best deal, what formula would you use to calculate the total square inches of pizza each pizza has?
(pi)r2
What is the radius of a circle with a diameter of 126 cm?
63 cm
Lake Hills has a diameter of 8 miles, if you walk half way around it, how far have you walked (to the nearest tenth mile)?
12.6 miles
A circle has a special name for its perimeter, what is it called?
Circumference
Formula for the circumference of a circle (either one)
(pi)*diameter or 2*(pi)*radius
If a stuffed crust large pizza has a radius of 7" and is cut into 8 slices, how many inches of the stuffed crust cheese are in 5 slices. (one decimal)
27.5"
What is the radius of a circle with a circumference of 64*(pi) inches?
32 inches
Lake Schultz has a diameter of 50 miles, if you walk 1/3 of the way around it, how many miles have you walked? (one decimal)
52.4 miles
What is the name of a line segment that has both its endpoints on a circle's circumference and crosses the circles exact center?
Diameter
Formula for the radius of a circle if the diameter is known?
diameter/2
You eat 2 slices of a 18" New York style pizza, if the pizza was cut into 6 slices, how many square inches of pizza did you eat? (one decimal)
84.8 in2
What is the area of a circle with a circumference of 28*(pi) meters? (one decimal)
615.8 meters2
No, just barely not (the radius of the lake is 2.069 miles)
What is the term for any part of the circumference that goes most of the way around a circle. (2 words)
Major Arc
Formula for the area of a circle
(pi)*radius squared
At Mel's pizza shop, you can buy a 10" diameter pizza for $5, a 12" diameter pizza for $7, or a 14" diameter pizza for $10 Which of the three pizzas has the best value?
The Medium, 5.14 in2 per $1 (vs 5 in2 per $1 on the Small and 4.9 in2 per $1 on the Large)
What is the diameter of a circle with an area of 81*(pi) feet2 ?
18 feet
Your friend rowed 3 miles in a straight line from the shore of the lake to the exact center, turned 165 degrees to port and rowed 3 more miles straight to the shore. You walked on the circumference of the lake from where they launched to where they landed. Who traveled further and by how far? (one decimal)
You walked further by 2.6 miles
What is the special name for half of a circle?
What is the formula used to find a sector of a circle (the area, but only part of it)
theta/360 * Area