The perimeter of the given quarter circle is 24.997 cm.
Step-by-step explanation:
Step 1:
The perimeter of a circle is 2π times its radius.
The given figure is only a quarter circle so we divide the entire circle's perimeter by 4 to get this figures circular portions perimeter and add it with the lengths of the two sides of the quarter circle.
The perimeter of a circle [tex]= 2 \pi r.[/tex]
Step 2:
The given circle has a radius of 7 cm and we take [tex]\pi = 3.142.[/tex]
The perimeter of the full circle [tex]= 2 (3.142)(7) = 43.988.[/tex]
The perimeter of the circular portion [tex]= \frac{43.988}{4} = 10.997[/tex] cm.
The two sides measure 7 cm each.
So the perimeter of the given figure [tex]= 10.997 + 7 + 7 = 24.997[/tex] cm.
