### Theory:

**The fundamental idea about the area of pathways**

- We should observe the circular shapes around us where we need to find the area of the pathway.
- The area of the pathway is the difference between the area of the outer circle and inner circle.
- Let ‘\(R\)’ be the radius of the outer circle, and ‘\(r\)’ be the radius of the inner circle.

Therefore, the area of the circular pathway,

$\begin{array}{l}=\mathrm{\pi}{R}^{2}-\mathrm{\pi}{r}^{2}\\ \\ =\mathrm{\pi}({R}^{2}-{r}^{2})\phantom{\rule{0.147em}{0ex}}\mathit{sq}.\phantom{\rule{0.147em}{0ex}}\mathit{units}\end{array}$

- The circle is a round plane figure whose boundary (the circumference) consists of points equidistant from the fixed point (the centre).
- Area of the circle is the region enclosed by the circle.
- Distance around the circular region is called the circumference or perimeter of the circle.

Important!

**Recollect the formula:**

**Area of the circle**

**is**$\mathrm{\pi}{r}^{2}$

Here \(r\) is the radius of the circle.

**Circumference of the circle**

**is**$2\mathrm{\pi}r$

Here \(r\) is the radius of the circle.