Definitions
Problem Solving
Grab-Bag
Trick Questions
Circles
100

What is a diameter? (Explain or draw it)

The length of a straight line passing through the center of a circle and connecting two points on the circumference.

100

What is the radius of a circle with a diameter of 20m?

r = 10m

100

What is the symbol that represents pi? (Draw it)

π

100

How many formulas are there to find the area of a circle?

only one formula: 

A = πr²

100

How many degrees does a circle have?

360°

200

How do you find the radius? (Explain or draw it)

Divide the diameter by 2, or measure the center of the circle to the side.

200

What is the circumference of a circle with a diameter of 4cm? (use 3.14 as pi) 

C=πd

C = 12.56cm

200

Why is a circle not a rectangle or square (quadrilateral)?

Because it isn't made of straight lines.

200

Is the diameter equal to twice the radius?

yes, it is!

d = 2r

200

What shapes measure 360°?

circles (and quadrilaterals, like a rectangle)

300

What is pi?

Pi is the ratio (fraction) of the circumference to the diameter of a circle, or circumference÷diameter 

(C / D) and it is irrational.

22/7 or 3.14

300

What is the area of a circle with a radius of 6? 

Use 3.14 as pi

A = πr²

A = 113.04

300

How many degrees are in two circles?

360 x 2 = 720°

300

How many sides does a circle have?

NONE: it has no straight lines (undefined!)

300

How many lines of symmetry do circles have?

Never ending amount: An infinite number

400

What is circumference?

Circumference is the perimeter of a circle. 

You find the circumference by multiplying pi times the diameter.

C = πd

400

What is the area of a circle with a diameter of 6?

A = πr² (use 3.14 as pi)

A = 28.26

400

What are the first 6 digits of pi?

3.14159

400

How many digits are in pi?

A never ending number: infinite!

400

Is a circle an oval, or is an oval a circle?

Neither 

500

Define "irrational" (Hint: Pi is irrational)

A number that cannot be written as a simple fraction:

- the decimal goes on forever without repeating

- the number never ends

500

What is the circumference of a circle with a radius of 5? (use 3.14 as pi)

C = 31.40

500

What fraction best represents pi?

22/7

500

As Johnny was going to the grocery store to get a pie for Pi Day, there were others walking out.  He saw 7 jugglers and a bear, every juggler had 6 cats, every cat had 5 rats, every rat had 4 tiny houses, every house had 3 mouses, every mouse had a spouse. How many in all were going to the grocery store?

Just Johnny. 

The others were walking out of the grocery store!

500

What is another name for a circle?

A flat sphere