The area of a circle is 200.96 square millimeters. What is the circle's diameter?

Use 3.14 only not symbol

d = 16 mm

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

200.96 = (3.14) r^2

Divide each side by 3.14

200.96/3.14 = 3.14r^2 / 3.14

64 = r^2

Take the square root of each side

sqrt (64) = sqrt (r^2)

8 = r

To find the diameter, we take the radius and multiply by 2

d = 2r

d = 2 (8)

d = 16 mm

16 mm

Step-by-step explanation:

The area of this circle is given as 200.96 mm², and this equals 3.14r^2, since A = πr².

Dividing 200.96 mm² by 3.14 yields r² = 64 mm², so r = 8 mm.

The diameter of this circle is twice that, or 16 mm.