What is -pi in degrees?
Answer
546.6k+ 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
Master Class 11 English: Engaging Questions & Answers for Success

Master Class 11 Maths: Engaging Questions & Answers for Success

Class 11 Question and Answer - Your Ultimate Solutions Guide

Master Class 11 Biology: Engaging Questions & Answers for Success

Master Class 11 Physics: Engaging Questions & Answers for Success

Master Class 11 Accountancy: Engaging Questions & Answers for Success

Trending doubts
Explain the Treaty of Vienna of 1815 class 10 social science CBSE

Who Won 36 Oscar Awards? Record Holder Revealed

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

Why is it 530 pm in india when it is 1200 afternoon class 10 social science CBSE

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

What is the full form of POSCO class 10 social science CBSE

