If the perimeter of a sector of a circle of radius 6.5 cm is 29 cm, then itd area is__________.

A ) 58cm²

B ) 52cm²

C ) 25cm²

D ) 56cm² ✅


Explanation:

If the perimeter of a sector of a circle of radius 6.5 cm is 29 cm, then itd area is__________.?

Trick: Area of a sector = ½ × Radius × (Perimeter − 2 × Radius)

Radius = 6.5 cm
Perimeter = 29 cm

Arc length = 29 − (2 × 6.5) = 16 cm

Area = ½ × 6.5 × 16
= 52 cm²

Answer: 52 cm²