Respuesta :

a=pir^2
c=2pir

676pi=a
676pi=pir^2
divide both sides by pi
676=r^2
sqrt both sides
26=r
sub back

c=2pir
c=2pi26
c=52pi mm

The circumference of a circle with an area of 676 pie square millimetre is 163.28 mm.

Circumference

The circumference of a circle is the perimeter of a circle. Therefore,

  • c = 2πr

where

r = radius

Area of the circle = 676π mm²

Therefore,

area = πr²

676π = πr²

r = √676

r = 26 mm

c = 2 × 26 × 3.14

c = 163.28 mm

learn more on circumference here: https://brainly.com/question/860763