Answer:
The radius of this circle is 2.76 cm, and the diameter (twice the radius) is 5.53 cm.
Explanation:
The formula for the area of a circle of radius r is A = πr².
If the area is already known, we can solve the resulting equation for r² and then for r:
A = 24 cm^2 = πr²
Taking the square root of both sides yields r = √ [ (24 cm^2) / π ]. If we use 3.14 as the approx. value for pi, then:
24 cm^2
r = √ -------------------- = 2.76 cm
3.14
The radius of this circle is 2.76 cm, and the diameter (twice the radius) is 5.53 cm.