Question

What is the relationship between pi, radius , diameter and circumference ?

Answer 1

Hint: In order to solve the question , we need to understand the given mathematical statement properly which contains the terms ‘ pi , radius , diameter and circumference ‘. We know that these terms are related to the two dimensional curve shaped figure known as CIRCLE , which can be defined as the set of all points on a plane that are a fixed distance from a centre . To obtain the relationship between pi, radius , diameter and circumference we must have knowledge about them and know their significant properties.

Complete step-by-step answer:
Starting with the term ‘Radius’ – It is the distance from the centre to the circumference( or any part of the circle ) of a circle . Also it is denoted by ‘r’ .
Diameter – It is the length of the line starting from one point on a circle to another point and passing through the centre of the circle. It is equal to twice the radius of the circle. It is usually denoted by ‘D’ . $D=2r$

Circumference – It defines the path or the measurement of the boundary of the circle . In other words, the circumference is also called the perimeter, which helps to identify the length of the outline of any shape. It can be measured as $C=2\pi r$.
Pi – It is the mathematical constant with an approximate (up to two decimal points) value of 3.14 . . It is denoted by ‘$\pi$ ’ . Also is a special mathematical constant; it is the ratio of circumference to diameter of any circle , given as = $\Rightarrow \pi ={\displaystyle \frac{C}{D}}={\displaystyle \frac{2\pi r}{2r}}$
So, the relationship between pi, radius , diameter and circumference can be referred as –
 $\Rightarrow \pi ={\displaystyle \frac{C}{D}}={\displaystyle \frac{2\pi r}{2r}}$.

Note: Always try to understand the mathematical statement carefully and keep things distinct .
Remember the properties and apply appropriately .
Try to solve the question using the diagram which makes it visual and easy to understand .
Choose the options wisely , it's better to break the question and then solve part by part .
Cross check the answer and always keep the final answer simplified .