The area of a circle is 826 centimeters. Find the diameter.

The formula for area of a circle = PI x r^2

since we know area, we can put that in the formula and solve for r (which is the radius) diameter is radius x 2

826 = 3.14 x r^2

divide both sides by 3.14:

r^2 = 826 / 3.14

r^2 = 263.06

r = square root (263.06)

r = 16.22 cm

diameter = 16.22 * 2 = 32.44 cm