Question

Find the circumference of the circle having radius 6 inch?

Answer 1

Hint: We will first try to understand the definition of the circumference and the use of the formula for finding the circumference of the circle. The formula for circumference is \[{\mathbf{2\pi R}}\] where R is the radius of the circumference.

Complete step-by-step answer:
We will first see the definition of the circumference.
The circumference of a circle, also known as its perimeter, is the measurement of the circle's boundaries. The area of a circle, on the other hand, defines the region it occupies. The circumference of a circle is its length when we open it and draw a straight line through it. It's commonly expressed in units like centimeters or meters.
We know that the circle’s circumference (or perimeter) is equal to $2\pi R$
where, the radius of the circle is R.
$\pi $ is a mathematical constant having an approximate value of 3.14 (to two decimal places)
Pi ( $\pi $ ) is a mathematical constant that represents the circumference to diameter ratio of any circle.
Now, we will find the circumference of the circle having radius 6 inch
So, the circumference of the circle is given by
$ = 2\pi R$
$ = 2 \times \pi \times 6$ inch
$ = 2 \times 3.14 \times 6$ inch
$ = 37.68$ inch
Hence, the circumference of the circle having radius 6 inch is 37.68 inch.

Note: We should know the basic definition like what is circumference, area and their formula for solving these types of questions. We can also find the circle when we are given diameter by using the formula \[{\mathbf{C}} = {\mathbf{\pi D}}\] where D is the diameter of the circle.