PI PROPERTIES
PI IN GEOMETRY
PI APPROXIMATIONS
PI IN EQUATIONS
PI IN CALCULUS
100

What is the approximate value of pi to three decimal places?

3.141

100

What formula is used to calculate the circumference of a circle?

2(pi)r

100

What is the fraction commonly used as an approximation for pi?

22/7

100

What is the formula for the circumference of a circle in terms of diameter?

C= (pi)d

100

What is the integral of 1/x with respect to x?

Ln|x| + C

200

What is the mathematical constant that represents the ratio of the circumference of a circle to its diameter?

Pi

200

What is the formula for the area of a circle?

(Pi)r^2

200

What is another common approximation of pi to two decimal places?

3.14

200

What is the relationship between the area of a circle and its radius?

A=(pi)r^2

200

What is the derivative of sin(x)?

cos(x)

300

What type of number is pi considered?

Irrational number 

300

What is the formula for the surface area of a sphere?

4(pi)r^2

300

What is the value of pi to four decimal places?

3.1415/3.1416

300

What is the equation for the length of an arc of a circle?

Length of arc: theta(r)

300

What is the result of the integral of n from 0 to 1?

pi

400

How many digits of pi are known to be calculated as of today?

Over 31 trillion digits 

400

What is the formula for the volume of a cylinder?

(Pi)r^2(h)

400

What is the decimal approximation of pi to six decimal places?

3.141593

400

What is the equation for the area of a sector of a circle?

1/2(theta)r^2

400

What is the result of the integral of 1/pi with respect to x from 0 to pi

1

500

What is the relationship between pi and the Golden Ratio?

They are not directly related, but both are irrational constants in mathematics.

500

What is the formula for the volume of a cone?

1/3 (pi)r^2(h)

500

What is the 100th decimal place?

9

500

What is the formula for the volume of a sphere?

V = 4/3(pi)r^3

500

What is the result of the integral of cos^2(x) from 0 to pi/2?

Pi/4