If the area of a circle is 28.28 square in, then what is its radius? and show work

Hello!

The formula for area of a circle is A = πr², where r is the radius. Since you are given the area of the circle, you can plug it for A in the formula and solve algebraically for the radius, r. We'll use 3.14 for π.

A = πr²

28.28 = 3.14r²

28.28 = 9.87r

2.87 = r

The radius of the circle is approximately 2.87 inches.

r = 3 in

This is because 28.28/3.14=9

√9=3