Very Important the answer is with over 4 or 12

Question

Find the perimeter of a sector of a circle with central angle 7π/4 and radius 3ft.

Answer 1

The perimeter of a sector is made up of the arc length, which is a portion of the circumference of the associated circle and two radii (one on each side) like this:

(Perimeter of the sector in red)

C_{(of the associated circle)} = 2πr

Arc Length_sector = 2πr(% of the circumference) = 2πr[(7π/4)/(2π)] = 2πr(7/8) = 7πr/4

Since r = 3, then Arc Length = 21π/4

Then, to get the perimeter, we need to add 3 + 3

So the perimeter is 21π/4 + 6 = 21π/4 + 24/4 = (21π + 24)/4