Question

Circumference ‘C’ of a circle can be found by multiplying diameter ‘d’ with \[\_\_\_\_\_\]

Answer 1

Hint: Questions like these are quite simple in nature and are very easy to solve. We need to understand all the key concepts behind the problem. We must have a clear cut idea of chapters like circle, area and perimeter. Circumference basically means the perimeter of the circle. We need to remember the formula of the perimeter of the circle and the relation between the radius and diameter of a circle to be able to solve this particular problem. Once we know these things, solving the problem becomes easier.

Complete step-by-step solution:
Now we start off with the solution to the given problem by first of all writing the relation of the diameter and the radius of a circle. The diameter of a circle is represented by ‘d’ and the radius of the circle is represented by ‘r’. They are both related to one another as, \[d=2r\] , or in other words we can say that the diameter of a circle is twice the radius. Now, according to the formula of the circumference of the circle we have
Circumference \[=2\pi r\] , Now we put the relation \[d=2r\] in the formula to get,
Circumference \[=\pi d\] . So our answer to our problem is \[\pi \] .

Note: We need to have a clear cut idea of circles in order to solve problems like these. All the formulae associated with circles should also be memorised or else we will not be able to solve the problem efficiently. We must also keep in mind that circumference of a circle is basically the perimeter of the circle, which is the length of the whole arc.