The perimeter of a sector of a circle of radius 5.6 cm is 27.2 cm. Find the area of the sector.
Radius of circle = 5.6 cm
Perimeter of a sector of a circle = 2R + Circumference of circle × θ/360
= 2R + 
Perimeter of a sector of a circle = 2 × 5.6 + 2 × 22/7 × 5.6 × θ/360 cm
= 27.2 cm
⇒ 2 × 22/7 × 5.6 × θ/360 = 27.2 – 11.2 cm = 16 cm
⇒ θ = 16 × 1/2 × 1/5.6 × 7/22
⇒ θ = 163.63°
Area of Sector = πr2 × θ360 = 22/7 × 5.6 × 5.6 × 163.63/360 = 44.8cm2
∴ Area of Sector = 44.8 cm2
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