Question

waiting for the answer

Answer 1

Answer:

Step-by-step explanation:

Radius of a circle(OA,OB) = 5.7 cm

Perimeter of the sector of a circle= 27.2 cm

Let OAB be the given sector.

Perimeter of the sector OAB = 27.2 cm

OA + OB +Arc AB = 27.2 cm

5.7 +5.7 + Arc AB = 27.2

11.4 + Arc AB = 27.2 cm

Arc AB = 27.2 - 11.4 = 15.8 cm

Length of the sector AB(l)= 15.8 cm

Area of sector OAB = ½ le

= ½(15.8)(5.7) = 90.06 /2= 45.03 cm²

Hence, the Area of sector= 45.03 cm².