Ratio of circumference of a circle to its diameter is denoted by symbol_____________
Answer
599.7k+ 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$\left( \pi \right)$.
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