Find the diameter of a circle with an area of 804.25 cm

The diameter of a circle with an area of 804.25 cm is 32 cm

Step-by-step explanation:

We know that formula for area of circle is:

Area of Circle = πr^2

804.25 =  3.14 * r^2

=> r^2 = 804.25 / 3.14

r^2 = 256.13

Taking square root on both sides

√r^2 = √256.13

r = 16.0

and r is half of diameter i.e

r = diameter / 2

=> diameter = 2r

so, diameter = 2 * 16

diameter = 32 cm

So, the diameter of a circle with an area of 804.25 cm is 32 cm.