Pi - The Beauty of Mathematics Quiz

Answer: Perimeter

Perimeter corresponds to a circle's circumference.

Answer: Leibniz formula

The Leibniz formula was named after a German mathematician, Gottfried Wilhem Leibniz, who made many great contributions in the field of calculus and topology.

Answer: 3 x pi x r^2

The area of a sphere is A = 4 x pi x r^2. So, half of it is 2 x pi x r^2. We should add another pi x r^2 to 2 x pi x r^2 to get the total area of a hemisphere, 3 x pi x r^2, since a hemisphere consists of 2 surfaces: a flat circle and a curved hemisphere itself.

The volume of a cone with a radius (of the circle at the base) of r and a height of h can be calculated using the formula V = (1/3) x pi x h x r^2.

There exists a Pizza Theorem, a mathematics joke that I found online. It says that for a pizza with a radius of z, and a thickness of a, its volume is V = pizza (pi x z x z x a). Interesting, isn't it?

Answer: Pi is the ratio of a circle's circumference to its radius.

Pi is actually the ratio of a circle's circumference to its diameter.

Pi is an irrational number and hence it cannot be written in a fraction. The fraction 22/7 is only an approximation to the real value of pi and it only matches for the first few decimal places. The value of 22/7 exceeds the real value of pi.

Since pi = 3.141..., this number is celebrated on 14 March (3-14) each year. Many other constants are also being celebrated. For example, phi (the golden ratio, 1.618...) is celebrated on 18 June. On the other hand, the Avogadro constant, 6.02 x 10^22 is celebrated on 22 June.

In 225 BC, Archimedes found the first approximation of pi, namely somewhere between 223/71 and 22/7. He found this value based on his calculation of a circle inscribed in a 96-gon (a polygon with 96 sides).

Pi is known as the Ludolph's constant, too. Ludolph van Ceulen is a German mathematician who calculated the value of pi to 35 decimal places.

Answer: 180

1 pi radian equals 180 degrees. Therefore, 1 radian equals (180/pi) degrees.

Trigonometry is a branch of mathematics that studies the relationship between length of triangle sides and it deals with functions such as sine, cosine and tangent.

Answer: 20

The exact value of [e^(pi)] - pi is 19.99909998, which is very close to 20.

Without using a calculator, one can make a rough approximation of [e^(pi)] - pi, take e = pi = 3, so the approximation would be (3^3) - 3 = 24, which is close to 20.

Answer: Srinivasa Ramanujan

Ramanujan was considered one of the greatest mathematicians. He was born in 1887. But sadly, he died at the age of 32 of tuberculosis.

His pi formula was extremely complicated yet so beautifully written with the combination of summation of series involving factorial, fraction and exponential operations.

Answer: Statistics

This function is called the probability density function. It is a bell-shaped graph. The total area bounded by the bell-shaped curve and the x-axis equals to 1, which corresponds to the maximum probability value of 1.

Answer: May I read a pie story for you?

Notice the following sentence: How (3) I (1) wish (4) I (1) could (5) calculate (9) pi (2) faster (6). The first word contains 3 letters, the second contains 1 letter, and the third one contains 4 letters, and so on.

All of these mnemonics are obtained from www.wikipedia.com .

Answer: True

In chemistry, the Heisenberg Uncertainty Principle is (delta X) x (delta p) is equal or greater than h/(4 x pi), where h is the Planck constant, X is the position of an object and p is the object's momentum. This principle states that it is impossible to tell the exact location and momentum of a particle during a certain time.

Meanwhile, in physics, pi appears in many equations, such as the cosmological constant, Kepler's third law constant and Coulomb's law.