Question

if the perimeter of the sector of circle of radius 6.5cm is 29cm . find its area

Answer 1

Answer:

52 cm square

Step-by-step explanation:

perimeter of a sector of a circle=29cm radius of a circle = 6•5 cm

perimeter of the sector, p= length of the arc+2× radius

p=©/360°×2πr+2r

29=©/360°×2×22/7×6•5+2×6•5

29=©/360°×44/7×6•5+13

29-13=©/360°×286/7

16=©/360°×286/7

©/360°=16×7/286

©360°=112/286_1 area of sector circle, a=©/360=×πr square

a= (112/286) ×22/7×6•5×6•5

(from eq 1)

a=676/13

a=52cm square