Question

The perimeter of a sector of a circle of radius 5.6 cm is 27.2 cm. Find the area of the sector.

Answer 1

Let OAB be a the given sector with perimeter 27.2cm

Let arc AB = l

Perimeter of sector OAB = 27.2cm

⇒ OA + AB + OB = 27.2

⇒ 5.6 + l + 5.6 = 27.2

⇒ l = 27.2 – 11.2

⇒ l = 16cm

Now, we know that

= 8r

= 8 × 5.6

= 44.8cm²