Question

The radius of a circle is$6.5$. What is the diameter, circumference, and area?

Answer 1

Step-1: Find the diameter of the circle:

Given, that the radius of a circle is$6.5$.

The radius is always twice as long as the diameter.
Consider that d represents diameter.

$\begin{array}{rcl}d& =& 6.5x2\\ & \Rightarrow & d=13\end{array}$

Hence, the value of the diameter of the circle is $13$.

Step-2: Find the circumference of the circle:

It is known that the circumference of a circle formula is $d\pi$, where $d$ represents diameter.

We can calculate the circumference, or the distance around the circle when we know the diameter length.
Considering $C$ as circumference:

$$\begin{gathered} C=d\mathrm{\pi } \\ \Rightarrow \mathrm{C}=13\mathrm{\pi } \\ \Rightarrow \mathrm{C}=13\mathrm{\pi }\mathrm{or}40.84(\mathrm{Since}\mathrm{\pi }=3.14) \end{gathered}$$

Hence, the value of the circumference of the circle is $13\mathrm{\pi }$.

Step-3: Find the area of the circle:

Since the formulae for area of circle is $A={\mathrm{\pi r}}^2$. Where, $A$is the area.

Since the value of radius is $6.5$.

Now,

$\begin{array}{rcl}A& =& {\mathrm{\pi r}}^2\\ & \Rightarrow & A=\mathrm{\pi }{(6.5)}^2\\ & \Rightarrow & \mathrm{A}=42.25\mathrm{\pi }\mathrm{or}132.73(\mathrm{Since}\mathrm{\pi }=3.14)\end{array}$

Therefore, the area of the circle is $42.25\mathrm{\pi }\mathrm{sq}.\mathrm{unit}s$ or $132.73\mathrm{sq}.\mathrm{unit}$.

Hence,the value of the diameter of the circle is $13\text{units}$,value of the circumference of the circle is $13\mathrm{\pi }\mathrm{unit}s$ and area of the circle is $42.25\mathrm{\pi }\mathrm{sq}.\mathrm{unit}s$.