Question

the perimeter of a sector of a circle of radius 4.2 cm is 12.8 find the area of the sector​

Answer 1

Step-by-step explanation:

let the radius of the circle be r = 4.2 cm

let the arc length AB be p cm.

the perimeter of the sector AOB = p+2r

therefore, p+2r=12.8

p+2*4.2=12.8

p+8.4=12.8

p=12.8-8.4

p = 4.4 cm

the length of the arc = 4.4 cm

the circumference of the circle =

let the sector makes an angle θ with the center.

then see the attachment.

hope it helps you have a nice day

:-)