Why is a Circle 360 Degrees, Why Not a Simpler Number, like 100?

The video explores why a circle is divided into 360 degrees, highlighting the mathematical convenience of 360 due to its numerous divisors. It explains the concept of highly composite numbers and their significance in calculations. The historical context of the Babylonian numeral system, which used a base of 60, is discussed, along with a method of counting to 60 using fingers. The video concludes with geometric applications of the number 360, emphasizing its historical and mathematical importance.

Why is 360 considered a more convenient number for dividing a circle compared to 100?

• Because it is a round number.

• Because it is easier to remember.

• Because it has more divisors.

• Because it is a prime number.

What is a highly composite number?

• A number with fewer divisors than any smaller number.

• A number with more divisors than any smaller number.

• A number that is a multiple of 10.

• A number that is a prime number.

Which numeral system did the Babylonians use that influenced the division of a circle into 360 degrees?

• Binary system

• Sexagesimal system

• Hexadecimal system

• Decimal system

How many equilateral triangles can fit inside a circle when using the Babylonian system?

• 5

• 6

• 7

• 4

What is the base value of the Babylonian numeral system?

• 60

• 12

• 10

• 100