Answer:
Perimeter of the quarter circle will be 24.997 cm.
Step-by-step explanation:
Picture shown is a sector of a circle having an angle inscribed = 90° at the center
Formula to get the circumference of the sector is,
Circumference of the sector = [tex]\frac{\theta^\circ}{360}(2\pi r)[/tex]
C = [tex]\frac{90^\circ}{360^\circ}(2\pi)(7)[/tex]
C = [tex]\frac{7\pi }{2}[/tex]
C = 10.997 cm
Now perimeter of the figure = Sum of lengths of all sides
P = 2r + C
P = 7 + 7 + 10.997
= 24.997 cm
Therefore, Perimeter of the quarter circle will be 24.997 cm.
