10 most difficult geometry riddlesGeometry quiz
The illustration shows the figure known in mathematics as;
lune of Hippocrates,
In geometry, the lune of Hippocrates, named after Hippocrates of Chios, is a lune bounded by arcs of two circles, the smaller of which has as its diameter a chord spanning a right angle on the larger circle. Equivalently, it is a non-convex plane region bounded by one 180-degree circular arc and one 90-degree circular arc. It is the first curved figure to have its exact area calculated mathematically.
If Earth's radius was larger by 1 meter, how much longer would its equator be?
by approx 6 meters
by approx 6 kilometers
by approx 60 kilometers
by approx 6000 kilometers
For each circle, the length of the circumference is c=2πr. Hence, if a radius grows by 1 meter, the circumference grows by 2 π meters - no matter what the initial value of radius was.
What is the maximum distance a plane can fly travelling constantly North?
It can fly endlessly (as long it can)
Continuous travel North must eventually end at the North Pole. So, the maximum distance is half of the Earth's meridional circumference, which can be reached if a plane starts at the South Pole.
In which year did Leonhard Euler introduced the symbol "i" to represent the square root of -1 ?
The letter "i" as a designation of the element from -1 was proposed by Leonhard Euler in 1777. Later, from 1801, this designation was popularized by Carl Friedrich Gauss. Currently, it is the most commonly used symbol of the imaginary unit.
The geometrical structure depicted in the picture is called ...
Spiral of Archimedes
Spiral of Theodorus
In geometry, the spiral of Theodorus is a spiral composed of contiguous right triangles. It was first constructed by Theodorus of Cyrene.The principle of construction is based on the Pythagorean theorem.
Which quadric surface is shaped like a saddle?
The widely sold fried snack food Pringles potato chips resemble a truncated hyperbolic paraboloid. The distinctive shape of these chips allows them to be stacked in sturdy tubular containers, fulfilling a design goal that they break less easily than other types of chip.
What is the approximate value of the golden ratio ("phi")?
In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. It is often used for aesthetics in art and design.