
What is -pi in degrees?
Answer
515.4k+ views
Hint: A mathematical constant is the number \[\pi \]. It is defined as the circumference to diameter ratio of a circle, with various equivalent definitions.
Complete step-by-step answer:
The angle subtended by an arc of a circle of length equal to the radius is called a radian. If the radius of a circle is $ 1 $ , then a $ 1 $ radian angle determines an arc with a curved length of $ 1.2\pi $ radians would carry us once around the circle.
A degree (full name: degree of arc, arc degree, or arc degree) is a measurement of a plane angle in which one full rotation is 360 degrees. It is typically denoted by $ ^ \circ $ (the degree symbol).
The angle of a full circle is divided into $ 360 $ divisions by degrees. We go around the circle once by turning $ 360 $ degrees.
The formula used to convert radians into degrees, is to multiply the radians by \[{180^ \circ }\,\pi \]radians.
$ 2\pi $ radians equals $ {360^ \circ } $ degrees, while $ \pi $ radians equals $ {180^ \circ } $ .
Hence -pi is $ - {180^ \circ } $ .
So, the correct answer is “ $ - {180^ \circ } $ ”.
Note: Pi is a number that is practically infinite. The number $ 123456 $ , on the other hand, does not appear in the first million digits of pi. It's surprising because if a million digits of pi don't have the sequence $ 123456 $ , it's the rarest number in the world.
Many mathematicians agree that saying a circle has infinite corners is more accurate than saying it has zero. It's only reasonable to assume that the infinite number of corners in a circle corresponds to the infinite number of pi digits.
Complete step-by-step answer:
The angle subtended by an arc of a circle of length equal to the radius is called a radian. If the radius of a circle is $ 1 $ , then a $ 1 $ radian angle determines an arc with a curved length of $ 1.2\pi $ radians would carry us once around the circle.
A degree (full name: degree of arc, arc degree, or arc degree) is a measurement of a plane angle in which one full rotation is 360 degrees. It is typically denoted by $ ^ \circ $ (the degree symbol).
The angle of a full circle is divided into $ 360 $ divisions by degrees. We go around the circle once by turning $ 360 $ degrees.
The formula used to convert radians into degrees, is to multiply the radians by \[{180^ \circ }\,\pi \]radians.
$ 2\pi $ radians equals $ {360^ \circ } $ degrees, while $ \pi $ radians equals $ {180^ \circ } $ .
Hence -pi is $ - {180^ \circ } $ .
So, the correct answer is “ $ - {180^ \circ } $ ”.
Note: Pi is a number that is practically infinite. The number $ 123456 $ , on the other hand, does not appear in the first million digits of pi. It's surprising because if a million digits of pi don't have the sequence $ 123456 $ , it's the rarest number in the world.
Many mathematicians agree that saying a circle has infinite corners is more accurate than saying it has zero. It's only reasonable to assume that the infinite number of corners in a circle corresponds to the infinite number of pi digits.
Recently Updated Pages
Two men on either side of the cliff 90m height observe class 10 maths CBSE

Cutting of the Chinese melon means A The business and class 10 social science CBSE

Show an aquatic food chain using the following organisms class 10 biology CBSE

How is gypsum formed class 10 chemistry CBSE

If the line 3x + 4y 24 0 intersects the xaxis at t-class-10-maths-CBSE

Sugar present in DNA is A Heptose B Hexone C Tetrose class 10 biology CBSE

Trending doubts
The average rainfall in India is A 105cm B 90cm C 120cm class 10 biology CBSE

Why is there a time difference of about 5 hours between class 10 social science CBSE

What is the median of the first 10 natural numbers class 10 maths CBSE

Indias first jute mill was established in 1854 in A class 10 social science CBSE

Indias first jute mill was established in 1854 in A class 10 social science CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE

