Question

Find the circumference of the circle having radius 7 cm.

Answer 1

Hint: First of all, draw the diagram of the circle with radius 7 cm which will give us an idea of what we have to find. To calculate circumference of a circle, we multiply the radius of the circle with $$2\pi$$. So, use this concept to reach the solution of the given solution.

Complete step-by-step answer:
Given radius of the circle $$r=7\text{ cm}$$
The diagram for the given circle is shown as in the below figure:

We know that the circumference of the circle with radius $$r$$ is given by $$C=2\pi r$$.
So, circumference of the given circle is
$$\begin{array}{c}\Rightarrow C=2\pi \left(7\right)\\ \Rightarrow C=2\times {\displaystyle \frac{22}{7}}\times 7\left[\because \pi ={\displaystyle \frac{22}{7}}\right]\\ \Rightarrow C=2\times 22\\ \therefore C=44\text{ cm}\end{array}$$
Thus, circumference of the given circle is 44 cm.

Note: The circumference of a circle is defined as the linear distance around it. In other words, if a circle is opened to form a straight line then the length of that line will be the circle's circumference. Here we have taken the value of $$\pi$$ as $${\displaystyle \frac{22}{7}}$$.