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,
 
=πR2πr2=π(R2r2)sq.units
    Important!
  • 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.
Recollect the formula:
 
Area of the circle is πr2 
Here \(r\) is the radius of the circle.
 
Area.svg
 
Circumference of the circleis2πr 
Here \(r\) is the radius of the circle.
 
Circumference.svg