Answer
Verified
468.9k+ views
Hint: The diameter of the circle is given by twice of the radius that is \[2\times r\]. The circumference of the circle is given by $2\times \pi \times r$ where $\pi$ is the mathematical constant with an approximate (up to two decimal points) value of 3.14.It is the measurement of the boundary of the circle.
Complete step-by-step answer:
Before answering the question, let us assume that the radius of the circle is given by r. We should be aware of the diameter of the circle and the circumference of the circle.
The circumference of the circle is the measurement of the boundary of the circle. It is given by $2\times \pi \times r$ where $\pi$ (pi) is the mathematical constant with an approximate value of 3.14 up to two decimal points and where r is the radius of the circle.
The diameter of the circle is the straight line joining two points on the circumference of the circle and passing through the center of the circle. It is given by the twice of the radius of the circle that is \[2\times r\].
Here we need the ratio of the circumference of a circle to its diameter of the circle.
Here the required ratio is
$\dfrac{2\times \pi \times r}{2\times r}$
=$\pi$
Hence the symbol used to denote the ratio of the circumference to its diameter of the circle is given by$\pi$.
Note: While answering the question we should make sure that the ratio is circumference to its diameter not diameter to its circumference and we should carefully observe the symbol of pi$\left( \pi \right)$.
Complete step-by-step answer:
Before answering the question, let us assume that the radius of the circle is given by r. We should be aware of the diameter of the circle and the circumference of the circle.
The circumference of the circle is the measurement of the boundary of the circle. It is given by $2\times \pi \times r$ where $\pi$ (pi) is the mathematical constant with an approximate value of 3.14 up to two decimal points and where r is the radius of the circle.
The diameter of the circle is the straight line joining two points on the circumference of the circle and passing through the center of the circle. It is given by the twice of the radius of the circle that is \[2\times r\].
Here we need the ratio of the circumference of a circle to its diameter of the circle.
Here the required ratio is
$\dfrac{2\times \pi \times r}{2\times r}$
=$\pi$
Hence the symbol used to denote the ratio of the circumference to its diameter of the circle is given by$\pi$.
Note: While answering the question we should make sure that the ratio is circumference to its diameter not diameter to its circumference and we should carefully observe the symbol of pi$\left( \pi \right)$.
Recently Updated Pages
Locus of all the points in a plane on which the moment class 11 phy sec 1 JEE_Main
A pulley is hinged at the centre and a massless thread class 11 physics JEE_Main
If sin x + cos x 12 then sin4x + cos4x as a rational class 10 maths CBSE
If sum of all the solution of equation 8cos xleft cos class 11 maths JEE_Main
The heat of combustion of carbon and carbon monoxide class 11 chemistry JEE_Main
Which of the following are correct structural isomers class 10 chemistry CBSE
Trending doubts
When people say No pun intended what does that mea class 8 english CBSE
State the differences between manure and fertilize class 8 biology CBSE
Who is known as Tutie Hind A Saint Kabir B Amir Khusro class 8 social science CBSE
Who is the author of Kadambari AKalidas B Panini C class 8 social science CBSE
Advantages and disadvantages of science
Write a letter to the Municipal Commissioner to inform class 8 english CBSE