Pi Day Definitions
What are the First 3 digits of Pi
3.14
True or False: π is an irrational number.
True
What Greek letter is used to represent this mathematical constant?
Pi (π)
What are 2 real-life applications of where pi is used
engineering, physics, astronomy, GPS systems
award any valid points
What is the value of pi in degrees when converting a full circle?
180 degrees
Who is credited with first calculating an accurate approximation of pi?
A) Archimedes ✅
B) 9✅
What is the formula to find the circumference of a circle?
a) C = 2πr
b) C = πr^2
c) C = π/d
d) C = 1/2πr
Which famous scientist’s birthday coincides with Pi Day?
Albert Einstein
How many full rotations does a bicycle wheel with a radius of 30 cm make if it travels 10 meters?
(Hint: find the circumference of the wheel first.)
answer = 5 full rotations
solution:
Circumference =2πr =2π(30)=60π≈188.4 cm
Convert 10 meters to cm:
10 m=1000 cm
1000 ÷ 188.4 ≈5.3
= 5 full rotations
In which mathematical formula is pi used to calculate the area of a sphere?
A=4πr2
In what century was it proven that π is transcendental? ( for an extra 200 points can you name the person who proved this?)
19th century (1882 by Ferdinand von Lindemann)
What part of the circle do you get a ameasurement for if you divide the ircumference by Pi
The Diameter
What is the term for the mathematical study of circles, where π is frequently used?
Geometry
A circular garden has a radius of 5 meters. You want to place a fence around it. How long does the fence need to be?
answer 31.42 meters / 10π
solution:
circumference=2πr
2π(5)=10π≈31.42 meters
My uncle bought a house for a huge discount because, believe it or not, it didn’t have a what?
W_____, d___, g_____, r___, & k_____
My uncle bought a house for a huge discount because, believe it or not, it didn’t have a what?
Window, door, garage, roof, & kitchen
What is the difference between radius and diameter?
Radius is half the diameter
The approximate fraction form of Pi.
22/7
Which ancient civilization was the first to discover an approximation of pi?
a) Greek
b) Egyptian
c) Babylonian
d) Chinese
c) Babylonian
A wheel has a diameter of 60 cm. How far does it travel in 15 full rotations?
answer 2826cm or 28.26m
circumference=πd(2r)
= π(60)=60π
aproximating 60 ×3.1416=188.4 cm
Total distance for 15 rotations: 15×188.4=2826 cm=28.26 m
Pi itself can be defined as the ratio between a circle's circumference to this?
Diameter
A date during the summer which could be another good time for pi day.
2nd of July (22/7)
Pi is best described as this type of number.
an irrational number
What language does the pi symbol come from?
It is a greek letter
What do you get when you multiply pi by the square of the radius of a circle?
circle's area