Answer:
Area of sector = 144.4π cm²
Step-by-step explanation:
Given:
Perimeter of circle = 40π cm
Given angle = 130°
Find:
Area of sector
Computation:
Perimeter of circle = 2πr
⇒ 40π = 2πr
⇒ 40 = 2r
⇒ Radius r = 40 / 2
Radius r = 20 cm
Area of sector = [θ/360][π][r]²
⇒ Area of sector = [130/360][π][20]²
⇒ Area of sector = [0.361][π][400]
Area of sector = 144.4π cm²
