Number - Pi

a - answer    s - solution    v - video    d - discussion

Question 1

$\pi\approx3.141592654$

a) Find the date (in American style mm/dd) that represents $\pi$a s v d

b) Find the date and hour (in American style mm/dd) that represents $\pi$a s v d

c) Find the date (in American style mm/dd), hour and minute that represents $\pi$a s v d

d) Find the date (in American style mm/dd), hour, minute and second that represents $\pi$a s v d

Question 2

Calculate the following

a) $\frac{22}{7}$a s v d
b) $\frac{355}{113}$a s v d
c) $\frac{105248}{33489}$a s v d
d) $4\times\frac{26712}{34000}$a s v d

Question 3

Use your calculator to calculate to following. Round your answer to $2$ decimal places

a) $4(1-\frac13+\frac15)$a s v d
b) $4(1-\frac13+\frac15-\frac17+\frac19)$a s v d
c) $4(1-\frac13+\frac15-\frac17+\frac19-\frac{1}{11}+\frac{1}{13})$a s v d

d) $4(1-\frac13+\frac15-\frac17+\frac19-\frac{1}{11}+\frac{1}{13}-\frac{1}{15}+\frac{1}{17})$a s v d

Question 4

a) If you continued the pattern in the previous question what would the result get close to?a s v d

Question 5

Use your calculator to calculate to following

a) $2^{5^{0.4}}-0.6-\left(\frac{0.3^9}{7}\right)^{0.8^{0.1}}$a s v d
b) $\sqrt{\frac{40}{3}-\sqrt{12}}$a s v d
c) $\frac{19\sqrt7}{16}$a s v d
d) $\sqrt[3]{31}$a s v d

Question 6

Answer the following (internet research needed)

a) When is the first time zero appears in $\pi$?a s v d

b) When is Albert Einstein's birthday?a s v d

c) Where did the symbol $\pi$ come from?a s v d

d) What is special about the sentence "May I have a large container of coffee?"a s v d

e) What is the most number of digits of $\pi$ memorised?a s v d

Question 7

a) Why should you never talk to $\pi$?a s v d

b) Which animal celebrates $\pi$ day?a s v d

c) What is Isaac Newton's favorite dessert?a s v d

Question 8

Find the circumference of the circle with the following diameter. Leave your answers in terms of $\pi$

a) $1$a s v d
b) $2$a s v d
c) $5$a s v d
d) $\frac13$a s v d

Question 9

Find the circumference of the circle with the following radius. Leave your answers in terms of $\pi$

a) $1$a s v d
b) $6$a s v d
c) $\frac12$a s v d
d) $0.7$a s v d

Question 10

Find the area of the circle with the following radius. Leave your answers in terms of $\pi$

a) $1$a s v d
b) $4$a s v d
c) $10$a s v d
d) $\frac14$a s v d

Question 11

Find the area of the circle with the following circumference. Leave your answers in terms of $\pi$

a) $2$a s v d
b) $10$a s v d
c) $1$a s v d
d) $5$a s v d