Area of the circle = 195. 97
ft^2
Area of the sector = 41.37
ft^2
Radius of the circle: Area =
Pi*r^2 à r =√( area/pi) = √(195.97/3.14159) = 7.90 ft
Circumference of the circle:
Pi*2*r = 3.14159*2*7.90ft = 49.62 ft
Arc PQ.
Ratio of the shaded sector:
41.37/195.97 = 0.2111
Angle of the arc PQ =
0.2111*360° = 76 °
Length PQ =
0.2111*Circumference = 0.2111* 49.62ft = 10.48 ft
Perimeter
of the shaded region = r + r + length PQ = 2*7.90 ft + 10.48 ft = 26.28 ft.
